Finding the Third Proportional to 72,746 and 156,958

Step by Step Solution

1. Step 1: Write the proportion equation
   72,746 : 156,958 = 156,958 : x
2. Step 2: Convert to fraction form
   72,746/156,958 = 156,958/x
3. Step 3: Cross multiply
   72,746x = 156,958 × 156,958
4. Step 4: Simplify right side
   72,746x = 24,635,813,764
5. Step 5: Solve for x
   x = 24,635,813,764/72,746
6. Step 6: Final answer
   x = 338,655.24