Finding the Third Proportional to 133,530 and 206,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,530 : 206,686.50 = 206,686.50 : x
2. Step 2: Convert to fraction form
   133,530/206,686.50 = 206,686.50/x
3. Step 3: Cross multiply
   133,530x = 206,686.50 × 206,686.50
4. Step 4: Simplify right side
   133,530x = 42,719,309,282.25
5. Step 5: Solve for x
   x = 42,719,309,282.25/133,530
6. Step 6: Final answer
   x = 319,922.93