Finding the Third Proportional to 72,654 and 109,398

Step by Step Solution

1. Step 1: Write the proportion equation
   72,654 : 109,398 = 109,398 : x
2. Step 2: Convert to fraction form
   72,654/109,398 = 109,398/x
3. Step 3: Cross multiply
   72,654x = 109,398 × 109,398
4. Step 4: Simplify right side
   72,654x = 11,967,922,404
5. Step 5: Solve for x
   x = 11,967,922,404/72,654
6. Step 6: Final answer
   x = 164,724.89