Finding the Third Proportional to 133,782 and 207,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,782 : 207,049.50 = 207,049.50 : x
2. Step 2: Convert to fraction form
   133,782/207,049.50 = 207,049.50/x
3. Step 3: Cross multiply
   133,782x = 207,049.50 × 207,049.50
4. Step 4: Simplify right side
   133,782x = 42,869,495,450.25
5. Step 5: Solve for x
   x = 42,869,495,450.25/133,782
6. Step 6: Final answer
   x = 320,442.93