Finding the Third Proportional to 214,672 and 471,840

Step by Step Solution

1. Step 1: Write the proportion equation
   214,672 : 471,840 = 471,840 : x
2. Step 2: Convert to fraction form
   214,672/471,840 = 471,840/x
3. Step 3: Cross multiply
   214,672x = 471,840 × 471,840
4. Step 4: Simplify right side
   214,672x = 222,632,985,600
5. Step 5: Solve for x
   x = 222,632,985,600/214,672
6. Step 6: Final answer
   x = 1,037,084.42