Finding the Third Proportional to 72,597 and 109,320

Step by Step Solution

1. Step 1: Write the proportion equation
   72,597 : 109,320 = 109,320 : x
2. Step 2: Convert to fraction form
   72,597/109,320 = 109,320/x
3. Step 3: Cross multiply
   72,597x = 109,320 × 109,320
4. Step 4: Simplify right side
   72,597x = 11,950,862,400
5. Step 5: Solve for x
   x = 11,950,862,400/72,597
6. Step 6: Final answer
   x = 164,619.23