Finding the Third Proportional to 175,942 and 414,916

Step by Step Solution

1. Step 1: Write the proportion equation
   175,942 : 414,916 = 414,916 : x
2. Step 2: Convert to fraction form
   175,942/414,916 = 414,916/x
3. Step 3: Cross multiply
   175,942x = 414,916 × 414,916
4. Step 4: Simplify right side
   175,942x = 172,155,287,056
5. Step 5: Solve for x
   x = 172,155,287,056/175,942
6. Step 6: Final answer
   x = 978,477.49