Finding the Third Proportional to 202,644 and 469,126

Step by Step Solution

1. Step 1: Write the proportion equation
   202,644 : 469,126 = 469,126 : x
2. Step 2: Convert to fraction form
   202,644/469,126 = 469,126/x
3. Step 3: Cross multiply
   202,644x = 469,126 × 469,126
4. Step 4: Simplify right side
   202,644x = 220,079,203,876
5. Step 5: Solve for x
   x = 220,079,203,876/202,644
6. Step 6: Final answer
   x = 1,086,038.59