Finding the Third Proportional to 82,007.50 and 133,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,007.50 : 133,911.50 = 133,911.50 : x
2. Step 2: Convert to fraction form
   82,007.50/133,911.50 = 133,911.50/x
3. Step 3: Cross multiply
   82,007.50x = 133,911.50 × 133,911.50
4. Step 4: Simplify right side
   82,007.50x = 17,932,289,832.25
5. Step 5: Solve for x
   x = 17,932,289,832.25/82,007.50
6. Step 6: Final answer
   x = 218,666.46