Finding the Third Proportional to 291,870 and 419,371

Step by Step Solution

1. Step 1: Write the proportion equation
   291,870 : 419,371 = 419,371 : x
2. Step 2: Convert to fraction form
   291,870/419,371 = 419,371/x
3. Step 3: Cross multiply
   291,870x = 419,371 × 419,371
4. Step 4: Simplify right side
   291,870x = 175,872,035,641
5. Step 5: Solve for x
   x = 175,872,035,641/291,870
6. Step 6: Final answer
   x = 602,569.76