Finding the Third Proportional to 194,082 and 424,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,082 : 424,369.50 = 424,369.50 : x
2. Step 2: Convert to fraction form
   194,082/424,369.50 = 424,369.50/x
3. Step 3: Cross multiply
   194,082x = 424,369.50 × 424,369.50
4. Step 4: Simplify right side
   194,082x = 180,089,472,530.25
5. Step 5: Solve for x
   x = 180,089,472,530.25/194,082
6. Step 6: Final answer
   x = 927,904.04