Finding the Third Proportional to 133,801 and 206,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,801 : 206,697.50 = 206,697.50 : x
2. Step 2: Convert to fraction form
   133,801/206,697.50 = 206,697.50/x
3. Step 3: Cross multiply
   133,801x = 206,697.50 × 206,697.50
4. Step 4: Simplify right side
   133,801x = 42,723,856,506.25
5. Step 5: Solve for x
   x = 42,723,856,506.25/133,801
6. Step 6: Final answer
   x = 319,308.95