Finding the Third Proportional to 72,788 and 110,496

Step by Step Solution

1. Step 1: Write the proportion equation
   72,788 : 110,496 = 110,496 : x
2. Step 2: Convert to fraction form
   72,788/110,496 = 110,496/x
3. Step 3: Cross multiply
   72,788x = 110,496 × 110,496
4. Step 4: Simplify right side
   72,788x = 12,209,366,016
5. Step 5: Solve for x
   x = 12,209,366,016/72,788
6. Step 6: Final answer
   x = 167,738.72