Finding the Third Proportional to 72,624 and 156,722

Step by Step Solution

1. Step 1: Write the proportion equation
   72,624 : 156,722 = 156,722 : x
2. Step 2: Convert to fraction form
   72,624/156,722 = 156,722/x
3. Step 3: Cross multiply
   72,624x = 156,722 × 156,722
4. Step 4: Simplify right side
   72,624x = 24,561,785,284
5. Step 5: Solve for x
   x = 24,561,785,284/72,624
6. Step 6: Final answer
   x = 338,204.80