Finding the Third Proportional to 118,400 and 181,124

Step by Step Solution

1. Step 1: Write the proportion equation
   118,400 : 181,124 = 181,124 : x
2. Step 2: Convert to fraction form
   118,400/181,124 = 181,124/x
3. Step 3: Cross multiply
   118,400x = 181,124 × 181,124
4. Step 4: Simplify right side
   118,400x = 32,805,903,376
5. Step 5: Solve for x
   x = 32,805,903,376/118,400
6. Step 6: Final answer
   x = 277,076.89