Finding the Third Proportional to 61,238 and 128,008

Step by Step Solution

1. Step 1: Write the proportion equation
   61,238 : 128,008 = 128,008 : x
2. Step 2: Convert to fraction form
   61,238/128,008 = 128,008/x
3. Step 3: Cross multiply
   61,238x = 128,008 × 128,008
4. Step 4: Simplify right side
   61,238x = 16,386,048,064
5. Step 5: Solve for x
   x = 16,386,048,064/61,238
6. Step 6: Final answer
   x = 267,579.74