Finding the Third Proportional to 200,978 and 431,095

Step by Step Solution

1. Step 1: Write the proportion equation
   200,978 : 431,095 = 431,095 : x
2. Step 2: Convert to fraction form
   200,978/431,095 = 431,095/x
3. Step 3: Cross multiply
   200,978x = 431,095 × 431,095
4. Step 4: Simplify right side
   200,978x = 185,842,899,025
5. Step 5: Solve for x
   x = 185,842,899,025/200,978
6. Step 6: Final answer
   x = 924,692.75