Finding the Third Proportional to 185,409 and 404,655.75

Step by Step Solution

1. Step 1: Write the proportion equation
   185,409 : 404,655.75 = 404,655.75 : x
2. Step 2: Convert to fraction form
   185,409/404,655.75 = 404,655.75/x
3. Step 3: Cross multiply
   185,409x = 404,655.75 × 404,655.75
4. Step 4: Simplify right side
   185,409x = 163,746,276,008.06
5. Step 5: Solve for x
   x = 163,746,276,008.06/185,409
6. Step 6: Final answer
   x = 883,162.50