Finding the Third Proportional to 85,782 and 185,876

Step by Step Solution

1. Step 1: Write the proportion equation
   85,782 : 185,876 = 185,876 : x
2. Step 2: Convert to fraction form
   85,782/185,876 = 185,876/x
3. Step 3: Cross multiply
   85,782x = 185,876 × 185,876
4. Step 4: Simplify right side
   85,782x = 34,549,887,376
5. Step 5: Solve for x
   x = 34,549,887,376/85,782
6. Step 6: Final answer
   x = 402,763.84