Finding the Third Proportional to 750,202,846,780 and 1,012,199,783,838

Step by Step Solution

1. Step 1: Write the proportion equation
   750,202,846,780 : 1,012,199,783,838 = 1,012,199,783,838 : x
2. Step 2: Convert to fraction form
   750,202,846,780/1,012,199,783,838 = 1,012,199,783,838/x
3. Step 3: Cross multiply
   750,202,846,780x = 1,012,199,783,838 × 1,012,199,783,838
4. Step 4: Simplify right side
   750,202,846,780x = 1,024,548,402,401,693,900,210,176
5. Step 5: Solve for x
   x = 1,024,548,402,401,693,900,210,176/750,202,846,780
6. Step 6: Final answer
   x = 1,365,695,167,379.37