Finding the Third Proportional to 81,564 and 123,471

Step by Step Solution

1. Step 1: Write the proportion equation
   81,564 : 123,471 = 123,471 : x
2. Step 2: Convert to fraction form
   81,564/123,471 = 123,471/x
3. Step 3: Cross multiply
   81,564x = 123,471 × 123,471
4. Step 4: Simplify right side
   81,564x = 15,245,087,841
5. Step 5: Solve for x
   x = 15,245,087,841/81,564
6. Step 6: Final answer
   x = 186,909.52