Finding the Third Proportional to 72,577 and 109,959

Step by Step Solution

1. Step 1: Write the proportion equation
   72,577 : 109,959 = 109,959 : x
2. Step 2: Convert to fraction form
   72,577/109,959 = 109,959/x
3. Step 3: Cross multiply
   72,577x = 109,959 × 109,959
4. Step 4: Simplify right side
   72,577x = 12,090,981,681
5. Step 5: Solve for x
   x = 12,090,981,681/72,577
6. Step 6: Final answer
   x = 166,595.23