Finding the Third Proportional to 81,218 and 123,411

Step by Step Solution

1. Step 1: Write the proportion equation
   81,218 : 123,411 = 123,411 : x
2. Step 2: Convert to fraction form
   81,218/123,411 = 123,411/x
3. Step 3: Cross multiply
   81,218x = 123,411 × 123,411
4. Step 4: Simplify right side
   81,218x = 15,230,274,921
5. Step 5: Solve for x
   x = 15,230,274,921/81,218
6. Step 6: Final answer
   x = 187,523.39