Finding the Third Proportional to 200,464 and 466,152

Step by Step Solution

1. Step 1: Write the proportion equation
   200,464 : 466,152 = 466,152 : x
2. Step 2: Convert to fraction form
   200,464/466,152 = 466,152/x
3. Step 3: Cross multiply
   200,464x = 466,152 × 466,152
4. Step 4: Simplify right side
   200,464x = 217,297,687,104
5. Step 5: Solve for x
   x = 217,297,687,104/200,464
6. Step 6: Final answer
   x = 1,083,973.62