Finding the Third Proportional to 217,878 and 469,122

Step by Step Solution

1. Step 1: Write the proportion equation
   217,878 : 469,122 = 469,122 : x
2. Step 2: Convert to fraction form
   217,878/469,122 = 469,122/x
3. Step 3: Cross multiply
   217,878x = 469,122 × 469,122
4. Step 4: Simplify right side
   217,878x = 220,075,450,884
5. Step 5: Solve for x
   x = 220,075,450,884/217,878
6. Step 6: Final answer
   x = 1,010,085.69