Finding the Third Proportional to 117,216 and 181,616

Step by Step Solution

1. Step 1: Write the proportion equation
   117,216 : 181,616 = 181,616 : x
2. Step 2: Convert to fraction form
   117,216/181,616 = 181,616/x
3. Step 3: Cross multiply
   117,216x = 181,616 × 181,616
4. Step 4: Simplify right side
   117,216x = 32,984,371,456
5. Step 5: Solve for x
   x = 32,984,371,456/117,216
6. Step 6: Final answer
   x = 281,398.20