Finding the Third Proportional to 127,837 and 191,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,837 : 191,026.50 = 191,026.50 : x
2. Step 2: Convert to fraction form
   127,837/191,026.50 = 191,026.50/x
3. Step 3: Cross multiply
   127,837x = 191,026.50 × 191,026.50
4. Step 4: Simplify right side
   127,837x = 36,491,123,702.25
5. Step 5: Solve for x
   x = 36,491,123,702.25/127,837
6. Step 6: Final answer
   x = 285,450.41