Finding the Third Proportional to 53,366 and 83,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,366 : 83,711.50 = 83,711.50 : x
2. Step 2: Convert to fraction form
   53,366/83,711.50 = 83,711.50/x
3. Step 3: Cross multiply
   53,366x = 83,711.50 × 83,711.50
4. Step 4: Simplify right side
   53,366x = 7,007,615,232.25
5. Step 5: Solve for x
   x = 7,007,615,232.25/53,366
6. Step 6: Final answer
   x = 131,312.36