Finding the Third Proportional to 243,658 and 365,488

Step by Step Solution

1. Step 1: Write the proportion equation
   243,658 : 365,488 = 365,488 : x
2. Step 2: Convert to fraction form
   243,658/365,488 = 365,488/x
3. Step 3: Cross multiply
   243,658x = 365,488 × 365,488
4. Step 4: Simplify right side
   243,658x = 133,581,478,144
5. Step 5: Solve for x
   x = 133,581,478,144/243,658
6. Step 6: Final answer
   x = 548,233.50