Finding the Third Proportional to 72,801 and 109,715

Step by Step Solution

1. Step 1: Write the proportion equation
   72,801 : 109,715 = 109,715 : x
2. Step 2: Convert to fraction form
   72,801/109,715 = 109,715/x
3. Step 3: Cross multiply
   72,801x = 109,715 × 109,715
4. Step 4: Simplify right side
   72,801x = 12,037,381,225
5. Step 5: Solve for x
   x = 12,037,381,225/72,801
6. Step 6: Final answer
   x = 165,346.37