Finding the Third Proportional to 149,440 and 231,384

Step by Step Solution

1. Step 1: Write the proportion equation
   149,440 : 231,384 = 231,384 : x
2. Step 2: Convert to fraction form
   149,440/231,384 = 231,384/x
3. Step 3: Cross multiply
   149,440x = 231,384 × 231,384
4. Step 4: Simplify right side
   149,440x = 53,538,555,456
5. Step 5: Solve for x
   x = 53,538,555,456/149,440
6. Step 6: Final answer
   x = 358,261.21