Finding the Third Proportional to 133,026 and 206,535.75

Step by Step Solution

1. Step 1: Write the proportion equation
   133,026 : 206,535.75 = 206,535.75 : x
2. Step 2: Convert to fraction form
   133,026/206,535.75 = 206,535.75/x
3. Step 3: Cross multiply
   133,026x = 206,535.75 × 206,535.75
4. Step 4: Simplify right side
   133,026x = 42,657,016,028.06
5. Step 5: Solve for x
   x = 42,657,016,028.06/133,026
6. Step 6: Final answer
   x = 320,666.76