Finding the Third Proportional to 185,816 and 280,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,816 : 280,465.50 = 280,465.50 : x
2. Step 2: Convert to fraction form
   185,816/280,465.50 = 280,465.50/x
3. Step 3: Cross multiply
   185,816x = 280,465.50 × 280,465.50
4. Step 4: Simplify right side
   185,816x = 78,660,896,690.25
5. Step 5: Solve for x
   x = 78,660,896,690.25/185,816
6. Step 6: Final answer
   x = 423,326.82