Finding the Third Proportional to 214,794 and 424,164.75

Step by Step Solution

1. Step 1: Write the proportion equation
   214,794 : 424,164.75 = 424,164.75 : x
2. Step 2: Convert to fraction form
   214,794/424,164.75 = 424,164.75/x
3. Step 3: Cross multiply
   214,794x = 424,164.75 × 424,164.75
4. Step 4: Simplify right side
   214,794x = 179,915,735,142.56
5. Step 5: Solve for x
   x = 179,915,735,142.56/214,794
6. Step 6: Final answer
   x = 837,619.93