Finding the Third Proportional to 413,808 and 643,308

Step by Step Solution

1. Step 1: Write the proportion equation
   413,808 : 643,308 = 643,308 : x
2. Step 2: Convert to fraction form
   413,808/643,308 = 643,308/x
3. Step 3: Cross multiply
   413,808x = 643,308 × 643,308
4. Step 4: Simplify right side
   413,808x = 413,845,182,864
5. Step 5: Solve for x
   x = 413,845,182,864/413,808
6. Step 6: Final answer
   x = 1,000,089.86