Finding the Third Proportional to 65,464 and 139,472

Step by Step Solution

1. Step 1: Write the proportion equation
   65,464 : 139,472 = 139,472 : x
2. Step 2: Convert to fraction form
   65,464/139,472 = 139,472/x
3. Step 3: Cross multiply
   65,464x = 139,472 × 139,472
4. Step 4: Simplify right side
   65,464x = 19,452,438,784
5. Step 5: Solve for x
   x = 19,452,438,784/65,464
6. Step 6: Final answer
   x = 297,147.12