Finding the Third Proportional to 72,778.50 and 111,111.75

Step by Step Solution

1. Step 1: Write the proportion equation
   72,778.50 : 111,111.75 = 111,111.75 : x
2. Step 2: Convert to fraction form
   72,778.50/111,111.75 = 111,111.75/x
3. Step 3: Cross multiply
   72,778.50x = 111,111.75 × 111,111.75
4. Step 4: Simplify right side
   72,778.50x = 12,345,820,988.06
5. Step 5: Solve for x
   x = 12,345,820,988.06/72,778.50
6. Step 6: Final answer
   x = 169,635.55