Finding the Third Proportional to 78,900.50 and 110,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78,900.50 : 110,978.75 = 110,978.75 : x
2. Step 2: Convert to fraction form
   78,900.50/110,978.75 = 110,978.75/x
3. Step 3: Cross multiply
   78,900.50x = 110,978.75 × 110,978.75
4. Step 4: Simplify right side
   78,900.50x = 12,316,282,951.56
5. Step 5: Solve for x
   x = 12,316,282,951.56/78,900.50
6. Step 6: Final answer
   x = 156,098.92