Finding the Third Proportional to 64,624 and 139,436

Step by Step Solution

1. Step 1: Write the proportion equation
   64,624 : 139,436 = 139,436 : x
2. Step 2: Convert to fraction form
   64,624/139,436 = 139,436/x
3. Step 3: Cross multiply
   64,624x = 139,436 × 139,436
4. Step 4: Simplify right side
   64,624x = 19,442,398,096
5. Step 5: Solve for x
   x = 19,442,398,096/64,624
6. Step 6: Final answer
   x = 300,854.14