Finding the Third Proportional to 127,413 and 191,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,413 : 191,101.50 = 191,101.50 : x
2. Step 2: Convert to fraction form
   127,413/191,101.50 = 191,101.50/x
3. Step 3: Cross multiply
   127,413x = 191,101.50 × 191,101.50
4. Step 4: Simplify right side
   127,413x = 36,519,783,302.25
5. Step 5: Solve for x
   x = 36,519,783,302.25/127,413
6. Step 6: Final answer
   x = 286,625.25