Finding the Third Proportional to 127,839 and 191,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,839 : 191,677.50 = 191,677.50 : x
2. Step 2: Convert to fraction form
   127,839/191,677.50 = 191,677.50/x
3. Step 3: Cross multiply
   127,839x = 191,677.50 × 191,677.50
4. Step 4: Simplify right side
   127,839x = 36,740,264,006.25
5. Step 5: Solve for x
   x = 36,740,264,006.25/127,839
6. Step 6: Final answer
   x = 287,394.80