Finding the Third Proportional to 219,314 and 471,262

Step by Step Solution

1. Step 1: Write the proportion equation
   219,314 : 471,262 = 471,262 : x
2. Step 2: Convert to fraction form
   219,314/471,262 = 471,262/x
3. Step 3: Cross multiply
   219,314x = 471,262 × 471,262
4. Step 4: Simplify right side
   219,314x = 222,087,872,644
5. Step 5: Solve for x
   x = 222,087,872,644/219,314
6. Step 6: Final answer
   x = 1,012,647.95