Finding the Third Proportional to 72,626 and 156,726

Step by Step Solution

1. Step 1: Write the proportion equation
   72,626 : 156,726 = 156,726 : x
2. Step 2: Convert to fraction form
   72,626/156,726 = 156,726/x
3. Step 3: Cross multiply
   72,626x = 156,726 × 156,726
4. Step 4: Simplify right side
   72,626x = 24,563,039,076
5. Step 5: Solve for x
   x = 24,563,039,076/72,626
6. Step 6: Final answer
   x = 338,212.75