Finding the Third Proportional to 216,978 and 471,276

Step by Step Solution

1. Step 1: Write the proportion equation
   216,978 : 471,276 = 471,276 : x
2. Step 2: Convert to fraction form
   216,978/471,276 = 471,276/x
3. Step 3: Cross multiply
   216,978x = 471,276 × 471,276
4. Step 4: Simplify right side
   216,978x = 222,101,068,176
5. Step 5: Solve for x
   x = 222,101,068,176/216,978
6. Step 6: Final answer
   x = 1,023,611.00