Finding the Third Proportional to 185,589 and 278,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,589 : 278,380.50 = 278,380.50 : x
2. Step 2: Convert to fraction form
   185,589/278,380.50 = 278,380.50/x
3. Step 3: Cross multiply
   185,589x = 278,380.50 × 278,380.50
4. Step 4: Simplify right side
   185,589x = 77,495,702,780.25
5. Step 5: Solve for x
   x = 77,495,702,780.25/185,589
6. Step 6: Final answer
   x = 417,566.25