Finding the Third Proportional to 62,944 and 137,768

Step by Step Solution

1. Step 1: Write the proportion equation
   62,944 : 137,768 = 137,768 : x
2. Step 2: Convert to fraction form
   62,944/137,768 = 137,768/x
3. Step 3: Cross multiply
   62,944x = 137,768 × 137,768
4. Step 4: Simplify right side
   62,944x = 18,980,021,824
5. Step 5: Solve for x
   x = 18,980,021,824/62,944
6. Step 6: Final answer
   x = 301,538.22