Finding the Third Proportional to 194,854.50 and 419,301

Step by Step Solution

1. Step 1: Write the proportion equation
   194,854.50 : 419,301 = 419,301 : x
2. Step 2: Convert to fraction form
   194,854.50/419,301 = 419,301/x
3. Step 3: Cross multiply
   194,854.50x = 419,301 × 419,301
4. Step 4: Simplify right side
   194,854.50x = 175,813,328,601
5. Step 5: Solve for x
   x = 175,813,328,601/194,854.50
6. Step 6: Final answer
   x = 902,280.05