Finding the Third Proportional to 194,064 and 424,197.75

Step by Step Solution

1. Step 1: Write the proportion equation
   194,064 : 424,197.75 = 424,197.75 : x
2. Step 2: Convert to fraction form
   194,064/424,197.75 = 424,197.75/x
3. Step 3: Cross multiply
   194,064x = 424,197.75 × 424,197.75
4. Step 4: Simplify right side
   194,064x = 179,943,731,105.06
5. Step 5: Solve for x
   x = 179,943,731,105.06/194,064
6. Step 6: Final answer
   x = 927,239.11