Finding the Third Proportional to 88,869 and 192,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,869 : 192,499.50 = 192,499.50 : x
2. Step 2: Convert to fraction form
   88,869/192,499.50 = 192,499.50/x
3. Step 3: Cross multiply
   88,869x = 192,499.50 × 192,499.50
4. Step 4: Simplify right side
   88,869x = 37,056,057,500.25
5. Step 5: Solve for x
   x = 37,056,057,500.25/88,869
6. Step 6: Final answer
   x = 416,973.94