Finding the Third Proportional to 72,801 and 109,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,801 : 109,714.50 = 109,714.50 : x
2. Step 2: Convert to fraction form
   72,801/109,714.50 = 109,714.50/x
3. Step 3: Cross multiply
   72,801x = 109,714.50 × 109,714.50
4. Step 4: Simplify right side
   72,801x = 12,037,271,510.25
5. Step 5: Solve for x
   x = 12,037,271,510.25/72,801
6. Step 6: Final answer
   x = 165,344.86