Finding the Third Proportional to 63,507 and 137,058

Step by Step Solution

1. Step 1: Write the proportion equation
   63,507 : 137,058 = 137,058 : x
2. Step 2: Convert to fraction form
   63,507/137,058 = 137,058/x
3. Step 3: Cross multiply
   63,507x = 137,058 × 137,058
4. Step 4: Simplify right side
   63,507x = 18,784,895,364
5. Step 5: Solve for x
   x = 18,784,895,364/63,507
6. Step 6: Final answer
   x = 295,792.52