Finding the Third Proportional to 127,449 and 191,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,449 : 191,221.50 = 191,221.50 : x
2. Step 2: Convert to fraction form
   127,449/191,221.50 = 191,221.50/x
3. Step 3: Cross multiply
   127,449x = 191,221.50 × 191,221.50
4. Step 4: Simplify right side
   127,449x = 36,565,662,062.25
5. Step 5: Solve for x
   x = 36,565,662,062.25/127,449
6. Step 6: Final answer
   x = 286,904.27