Finding the Third Proportional to 52,380 and 78,786

Step by Step Solution

1. Step 1: Write the proportion equation
   52,380 : 78,786 = 78,786 : x
2. Step 2: Convert to fraction form
   52,380/78,786 = 78,786/x
3. Step 3: Cross multiply
   52,380x = 78,786 × 78,786
4. Step 4: Simplify right side
   52,380x = 6,207,233,796
5. Step 5: Solve for x
   x = 6,207,233,796/52,380
6. Step 6: Final answer
   x = 118,503.89