Finding the Third Proportional to 62,770 and 137,980

Step by Step Solution

1. Step 1: Write the proportion equation
   62,770 : 137,980 = 137,980 : x
2. Step 2: Convert to fraction form
   62,770/137,980 = 137,980/x
3. Step 3: Cross multiply
   62,770x = 137,980 × 137,980
4. Step 4: Simplify right side
   62,770x = 19,038,480,400
5. Step 5: Solve for x
   x = 19,038,480,400/62,770
6. Step 6: Final answer
   x = 303,305.41