Finding the Third Proportional to 500,695.50 and 768,540

Step by Step Solution

1. Step 1: Write the proportion equation
   500,695.50 : 768,540 = 768,540 : x
2. Step 2: Convert to fraction form
   500,695.50/768,540 = 768,540/x
3. Step 3: Cross multiply
   500,695.50x = 768,540 × 768,540
4. Step 4: Simplify right side
   500,695.50x = 590,653,731,600
5. Step 5: Solve for x
   x = 590,653,731,600/500,695.50
6. Step 6: Final answer
   x = 1,179,666.55