Finding the Third Proportional to 127,845 and 191,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,845 : 191,038.50 = 191,038.50 : x
2. Step 2: Convert to fraction form
   127,845/191,038.50 = 191,038.50/x
3. Step 3: Cross multiply
   127,845x = 191,038.50 × 191,038.50
4. Step 4: Simplify right side
   127,845x = 36,495,708,482.25
5. Step 5: Solve for x
   x = 36,495,708,482.25/127,845
6. Step 6: Final answer
   x = 285,468.41