Finding the Third Proportional to 81,264 and 123,464

Step by Step Solution

1. Step 1: Write the proportion equation
   81,264 : 123,464 = 123,464 : x
2. Step 2: Convert to fraction form
   81,264/123,464 = 123,464/x
3. Step 3: Cross multiply
   81,264x = 123,464 × 123,464
4. Step 4: Simplify right side
   81,264x = 15,243,359,296
5. Step 5: Solve for x
   x = 15,243,359,296/81,264
6. Step 6: Final answer
   x = 187,578.25