Finding the Third Proportional to 185,518 and 279,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,518 : 279,998.50 = 279,998.50 : x
2. Step 2: Convert to fraction form
   185,518/279,998.50 = 279,998.50/x
3. Step 3: Cross multiply
   185,518x = 279,998.50 × 279,998.50
4. Step 4: Simplify right side
   185,518x = 78,399,160,002.25
5. Step 5: Solve for x
   x = 78,399,160,002.25/185,518
6. Step 6: Final answer
   x = 422,595.97