Finding the Third Proportional to 72,292 and 156,653

Step by Step Solution

1. Step 1: Write the proportion equation
   72,292 : 156,653 = 156,653 : x
2. Step 2: Convert to fraction form
   72,292/156,653 = 156,653/x
3. Step 3: Cross multiply
   72,292x = 156,653 × 156,653
4. Step 4: Simplify right side
   72,292x = 24,540,162,409
5. Step 5: Solve for x
   x = 24,540,162,409/72,292
6. Step 6: Final answer
   x = 339,458.89