Finding the Third Proportional to 81,960 and 123,522

Step by Step Solution

1. Step 1: Write the proportion equation
   81,960 : 123,522 = 123,522 : x
2. Step 2: Convert to fraction form
   81,960/123,522 = 123,522/x
3. Step 3: Cross multiply
   81,960x = 123,522 × 123,522
4. Step 4: Simplify right side
   81,960x = 15,257,684,484
5. Step 5: Solve for x
   x = 15,257,684,484/81,960
6. Step 6: Final answer
   x = 186,160.13