Finding the Third Proportional to 214,761 and 472,002

Step by Step Solution

1. Step 1: Write the proportion equation
   214,761 : 472,002 = 472,002 : x
2. Step 2: Convert to fraction form
   214,761/472,002 = 472,002/x
3. Step 3: Cross multiply
   214,761x = 472,002 × 472,002
4. Step 4: Simplify right side
   214,761x = 222,785,888,004
5. Step 5: Solve for x
   x = 222,785,888,004/214,761
6. Step 6: Final answer
   x = 1,037,366.60