Finding the Third Proportional to 36,490.50 and 78,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,490.50 : 78,978.75 = 78,978.75 : x
2. Step 2: Convert to fraction form
   36,490.50/78,978.75 = 78,978.75/x
3. Step 3: Cross multiply
   36,490.50x = 78,978.75 × 78,978.75
4. Step 4: Simplify right side
   36,490.50x = 6,237,642,951.56
5. Step 5: Solve for x
   x = 6,237,642,951.56/36,490.50
6. Step 6: Final answer
   x = 170,938.82