Finding the Third Proportional to 409,585 and 614,377.75

Step by Step Solution

1. Step 1: Write the proportion equation
   409,585 : 614,377.75 = 614,377.75 : x
2. Step 2: Convert to fraction form
   409,585/614,377.75 = 614,377.75/x
3. Step 3: Cross multiply
   409,585x = 614,377.75 × 614,377.75
4. Step 4: Simplify right side
   409,585x = 377,460,019,695.06
5. Step 5: Solve for x
   x = 377,460,019,695.06/409,585
6. Step 6: Final answer
   x = 921,567.00