Finding the Third Proportional to 88,269.75 and 191,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,269.75 : 191,119.50 = 191,119.50 : x
2. Step 2: Convert to fraction form
   88,269.75/191,119.50 = 191,119.50/x
3. Step 3: Cross multiply
   88,269.75x = 191,119.50 × 191,119.50
4. Step 4: Simplify right side
   88,269.75x = 36,526,663,280.25
5. Step 5: Solve for x
   x = 36,526,663,280.25/88,269.75
6. Step 6: Final answer
   x = 413,807.26