Finding the Third Proportional to 194,834.50 and 419,261

Step by Step Solution

1. Step 1: Write the proportion equation
   194,834.50 : 419,261 = 419,261 : x
2. Step 2: Convert to fraction form
   194,834.50/419,261 = 419,261/x
3. Step 3: Cross multiply
   194,834.50x = 419,261 × 419,261
4. Step 4: Simplify right side
   194,834.50x = 175,779,786,121
5. Step 5: Solve for x
   x = 175,779,786,121/194,834.50
6. Step 6: Final answer
   x = 902,200.51