Finding the Third Proportional to 72,494 and 108,738

Step by Step Solution

1. Step 1: Write the proportion equation
   72,494 : 108,738 = 108,738 : x
2. Step 2: Convert to fraction form
   72,494/108,738 = 108,738/x
3. Step 3: Cross multiply
   72,494x = 108,738 × 108,738
4. Step 4: Simplify right side
   72,494x = 11,823,952,644
5. Step 5: Solve for x
   x = 11,823,952,644/72,494
6. Step 6: Final answer
   x = 163,102.50