Finding the Third Proportional to 185,821 and 280,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,821 : 280,471.50 = 280,471.50 : x
2. Step 2: Convert to fraction form
   185,821/280,471.50 = 280,471.50/x
3. Step 3: Cross multiply
   185,821x = 280,471.50 × 280,471.50
4. Step 4: Simplify right side
   185,821x = 78,664,262,312.25
5. Step 5: Solve for x
   x = 78,664,262,312.25/185,821
6. Step 6: Final answer
   x = 423,333.54