Finding the Third Proportional to 63,465 and 137,872

Step by Step Solution

1. Step 1: Write the proportion equation
   63,465 : 137,872 = 137,872 : x
2. Step 2: Convert to fraction form
   63,465/137,872 = 137,872/x
3. Step 3: Cross multiply
   63,465x = 137,872 × 137,872
4. Step 4: Simplify right side
   63,465x = 19,008,688,384
5. Step 5: Solve for x
   x = 19,008,688,384/63,465
6. Step 6: Final answer
   x = 299,514.51