Finding the Third Proportional to 195,124.50 and 419,364

Step by Step Solution

1. Step 1: Write the proportion equation
   195,124.50 : 419,364 = 419,364 : x
2. Step 2: Convert to fraction form
   195,124.50/419,364 = 419,364/x
3. Step 3: Cross multiply
   195,124.50x = 419,364 × 419,364
4. Step 4: Simplify right side
   195,124.50x = 175,866,164,496
5. Step 5: Solve for x
   x = 175,866,164,496/195,124.50
6. Step 6: Final answer
   x = 901,302.32