Finding the Third Proportional to 193,605.50 and 419,382

Step by Step Solution

1. Step 1: Write the proportion equation
   193,605.50 : 419,382 = 419,382 : x
2. Step 2: Convert to fraction form
   193,605.50/419,382 = 419,382/x
3. Step 3: Cross multiply
   193,605.50x = 419,382 × 419,382
4. Step 4: Simplify right side
   193,605.50x = 175,881,261,924
5. Step 5: Solve for x
   x = 175,881,261,924/193,605.50
6. Step 6: Final answer
   x = 908,451.78