Finding the Third Proportional to 72,778.50 and 108,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,778.50 : 108,715.50 = 108,715.50 : x
2. Step 2: Convert to fraction form
   72,778.50/108,715.50 = 108,715.50/x
3. Step 3: Cross multiply
   72,778.50x = 108,715.50 × 108,715.50
4. Step 4: Simplify right side
   72,778.50x = 11,819,059,940.25
5. Step 5: Solve for x
   x = 11,819,059,940.25/72,778.50
6. Step 6: Final answer
   x = 162,397.69