Finding the Third Proportional to 133,506 and 206,651.25

Step by Step Solution

1. Step 1: Write the proportion equation
   133,506 : 206,651.25 = 206,651.25 : x
2. Step 2: Convert to fraction form
   133,506/206,651.25 = 206,651.25/x
3. Step 3: Cross multiply
   133,506x = 206,651.25 × 206,651.25
4. Step 4: Simplify right side
   133,506x = 42,704,739,126.56
5. Step 5: Solve for x
   x = 42,704,739,126.56/133,506
6. Step 6: Final answer
   x = 319,871.31