Finding the Third Proportional to 74,576 and 141,616

Step by Step Solution

1. Step 1: Write the proportion equation
   74,576 : 141,616 = 141,616 : x
2. Step 2: Convert to fraction form
   74,576/141,616 = 141,616/x
3. Step 3: Cross multiply
   74,576x = 141,616 × 141,616
4. Step 4: Simplify right side
   74,576x = 20,055,091,456
5. Step 5: Solve for x
   x = 20,055,091,456/74,576
6. Step 6: Final answer
   x = 268,921.52