Finding the Third Proportional to 52,539 and 78,862.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,539 : 78,862.50 = 78,862.50 : x
2. Step 2: Convert to fraction form
   52,539/78,862.50 = 78,862.50/x
3. Step 3: Cross multiply
   52,539x = 78,862.50 × 78,862.50
4. Step 4: Simplify right side
   52,539x = 6,219,293,906.25
5. Step 5: Solve for x
   x = 6,219,293,906.25/52,539
6. Step 6: Final answer
   x = 118,374.81