Finding the Third Proportional to 85,311 and 199,364

Step by Step Solution

1. Step 1: Write the proportion equation
   85,311 : 199,364 = 199,364 : x
2. Step 2: Convert to fraction form
   85,311/199,364 = 199,364/x
3. Step 3: Cross multiply
   85,311x = 199,364 × 199,364
4. Step 4: Simplify right side
   85,311x = 39,746,004,496
5. Step 5: Solve for x
   x = 39,746,004,496/85,311
6. Step 6: Final answer
   x = 465,895.42