Finding the Third Proportional to 127,881 and 185,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,881 : 185,989.50 = 185,989.50 : x
2. Step 2: Convert to fraction form
   127,881/185,989.50 = 185,989.50/x
3. Step 3: Cross multiply
   127,881x = 185,989.50 × 185,989.50
4. Step 4: Simplify right side
   127,881x = 34,592,094,110.25
5. Step 5: Solve for x
   x = 34,592,094,110.25/127,881
6. Step 6: Final answer
   x = 270,502.22