Finding the Third Proportional to 72,539 and 110,892

Step by Step Solution

1. Step 1: Write the proportion equation
   72,539 : 110,892 = 110,892 : x
2. Step 2: Convert to fraction form
   72,539/110,892 = 110,892/x
3. Step 3: Cross multiply
   72,539x = 110,892 × 110,892
4. Step 4: Simplify right side
   72,539x = 12,297,035,664
5. Step 5: Solve for x
   x = 12,297,035,664/72,539
6. Step 6: Final answer
   x = 169,523.09