Finding the Third Proportional to 214,712 and 471,904

Step by Step Solution

1. Step 1: Write the proportion equation
   214,712 : 471,904 = 471,904 : x
2. Step 2: Convert to fraction form
   214,712/471,904 = 471,904/x
3. Step 3: Cross multiply
   214,712x = 471,904 × 471,904
4. Step 4: Simplify right side
   214,712x = 222,693,385,216
5. Step 5: Solve for x
   x = 222,693,385,216/214,712
6. Step 6: Final answer
   x = 1,037,172.52