Finding the Third Proportional to 79,978.88 and 185,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,978.88 : 185,154.50 = 185,154.50 : x
2. Step 2: Convert to fraction form
   79,978.88/185,154.50 = 185,154.50/x
3. Step 3: Cross multiply
   79,978.88x = 185,154.50 × 185,154.50
4. Step 4: Simplify right side
   79,978.88x = 34,282,188,870.25
5. Step 5: Solve for x
   x = 34,282,188,870.25/79,978.88
6. Step 6: Final answer
   x = 428,640.55