Finding the Third Proportional to 216,374 and 472,114

Step by Step Solution

1. Step 1: Write the proportion equation
   216,374 : 472,114 = 472,114 : x
2. Step 2: Convert to fraction form
   216,374/472,114 = 472,114/x
3. Step 3: Cross multiply
   216,374x = 472,114 × 472,114
4. Step 4: Simplify right side
   216,374x = 222,891,628,996
5. Step 5: Solve for x
   x = 222,891,628,996/216,374
6. Step 6: Final answer
   x = 1,030,122.05