Finding the Third Proportional to 72,342 and 110,598

Step by Step Solution

1. Step 1: Write the proportion equation
   72,342 : 110,598 = 110,598 : x
2. Step 2: Convert to fraction form
   72,342/110,598 = 110,598/x
3. Step 3: Cross multiply
   72,342x = 110,598 × 110,598
4. Step 4: Simplify right side
   72,342x = 12,231,917,604
5. Step 5: Solve for x
   x = 12,231,917,604/72,342
6. Step 6: Final answer
   x = 169,084.59