Finding the Third Proportional to 92,196 and 142,616

Step by Step Solution

1. Step 1: Write the proportion equation
   92,196 : 142,616 = 142,616 : x
2. Step 2: Convert to fraction form
   92,196/142,616 = 142,616/x
3. Step 3: Cross multiply
   92,196x = 142,616 × 142,616
4. Step 4: Simplify right side
   92,196x = 20,339,323,456
5. Step 5: Solve for x
   x = 20,339,323,456/92,196
6. Step 6: Final answer
   x = 220,609.61