Finding the Third Proportional to 404,046 and 602,566

Step by Step Solution

1. Step 1: Write the proportion equation
   404,046 : 602,566 = 602,566 : x
2. Step 2: Convert to fraction form
   404,046/602,566 = 602,566/x
3. Step 3: Cross multiply
   404,046x = 602,566 × 602,566
4. Step 4: Simplify right side
   404,046x = 363,085,784,356
5. Step 5: Solve for x
   x = 363,085,784,356/404,046
6. Step 6: Final answer
   x = 898,624.87