Finding the Third Proportional to 85,716 and 185,733

Step by Step Solution

1. Step 1: Write the proportion equation
   85,716 : 185,733 = 185,733 : x
2. Step 2: Convert to fraction form
   85,716/185,733 = 185,733/x
3. Step 3: Cross multiply
   85,716x = 185,733 × 185,733
4. Step 4: Simplify right side
   85,716x = 34,496,747,289
5. Step 5: Solve for x
   x = 34,496,747,289/85,716
6. Step 6: Final answer
   x = 402,454.00