Finding the Third Proportional to 118,392 and 181,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,392 : 181,111.50 = 181,111.50 : x
2. Step 2: Convert to fraction form
   118,392/181,111.50 = 181,111.50/x
3. Step 3: Cross multiply
   118,392x = 181,111.50 × 181,111.50
4. Step 4: Simplify right side
   118,392x = 32,801,375,432.25
5. Step 5: Solve for x
   x = 32,801,375,432.25/118,392
6. Step 6: Final answer
   x = 277,057.36