Finding the Third Proportional to 80,406 and 153,522

Step by Step Solution

1. Step 1: Write the proportion equation
   80,406 : 153,522 = 153,522 : x
2. Step 2: Convert to fraction form
   80,406/153,522 = 153,522/x
3. Step 3: Cross multiply
   80,406x = 153,522 × 153,522
4. Step 4: Simplify right side
   80,406x = 23,569,004,484
5. Step 5: Solve for x
   x = 23,569,004,484/80,406
6. Step 6: Final answer
   x = 293,124.95