Finding the Third Proportional to 118,396 and 181,116

Step by Step Solution

1. Step 1: Write the proportion equation
   118,396 : 181,116 = 181,116 : x
2. Step 2: Convert to fraction form
   118,396/181,116 = 181,116/x
3. Step 3: Cross multiply
   118,396x = 181,116 × 181,116
4. Step 4: Simplify right side
   118,396x = 32,803,005,456
5. Step 5: Solve for x
   x = 32,803,005,456/118,396
6. Step 6: Final answer
   x = 277,061.77