Finding the Third Proportional to 200,162 and 431,140

Step by Step Solution

1. Step 1: Write the proportion equation
   200,162 : 431,140 = 431,140 : x
2. Step 2: Convert to fraction form
   200,162/431,140 = 431,140/x
3. Step 3: Cross multiply
   200,162x = 431,140 × 431,140
4. Step 4: Simplify right side
   200,162x = 185,881,699,600
5. Step 5: Solve for x
   x = 185,881,699,600/200,162
6. Step 6: Final answer
   x = 928,656.29