Finding the Third Proportional to 52,535 and 78,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,535 : 78,856.50 = 78,856.50 : x
2. Step 2: Convert to fraction form
   52,535/78,856.50 = 78,856.50/x
3. Step 3: Cross multiply
   52,535x = 78,856.50 × 78,856.50
4. Step 4: Simplify right side
   52,535x = 6,218,347,592.25
5. Step 5: Solve for x
   x = 6,218,347,592.25/52,535
6. Step 6: Final answer
   x = 118,365.81