Finding the Third Proportional to 92,441 and 142,578

Step by Step Solution

1. Step 1: Write the proportion equation
   92,441 : 142,578 = 142,578 : x
2. Step 2: Convert to fraction form
   92,441/142,578 = 142,578/x
3. Step 3: Cross multiply
   92,441x = 142,578 × 142,578
4. Step 4: Simplify right side
   92,441x = 20,328,486,084
5. Step 5: Solve for x
   x = 20,328,486,084/92,441
6. Step 6: Final answer
   x = 219,907.68