Finding the Third Proportional to 193,623.50 and 419,414

Step by Step Solution

1. Step 1: Write the proportion equation
   193,623.50 : 419,414 = 419,414 : x
2. Step 2: Convert to fraction form
   193,623.50/419,414 = 419,414/x
3. Step 3: Cross multiply
   193,623.50x = 419,414 × 419,414
4. Step 4: Simplify right side
   193,623.50x = 175,908,103,396
5. Step 5: Solve for x
   x = 175,908,103,396/193,623.50
6. Step 6: Final answer
   x = 908,505.96