Finding the Third Proportional to 284,495 and 427,499

Step by Step Solution

1. Step 1: Write the proportion equation
   284,495 : 427,499 = 427,499 : x
2. Step 2: Convert to fraction form
   284,495/427,499 = 427,499/x
3. Step 3: Cross multiply
   284,495x = 427,499 × 427,499
4. Step 4: Simplify right side
   284,495x = 182,755,395,001
5. Step 5: Solve for x
   x = 182,755,395,001/284,495
6. Step 6: Final answer
   x = 642,385.26