Finding the Third Proportional to 200,506 and 431,145

Step by Step Solution

1. Step 1: Write the proportion equation
   200,506 : 431,145 = 431,145 : x
2. Step 2: Convert to fraction form
   200,506/431,145 = 431,145/x
3. Step 3: Cross multiply
   200,506x = 431,145 × 431,145
4. Step 4: Simplify right side
   200,506x = 185,886,011,025
5. Step 5: Solve for x
   x = 185,886,011,025/200,506
6. Step 6: Final answer
   x = 927,084.53