Finding the Third Proportional to 213,582 and 469,798

Step by Step Solution

1. Step 1: Write the proportion equation
   213,582 : 469,798 = 469,798 : x
2. Step 2: Convert to fraction form
   213,582/469,798 = 469,798/x
3. Step 3: Cross multiply
   213,582x = 469,798 × 469,798
4. Step 4: Simplify right side
   213,582x = 220,710,160,804
5. Step 5: Solve for x
   x = 220,710,160,804/213,582
6. Step 6: Final answer
   x = 1,033,374.35