Finding the Third Proportional to 85,756 and 185,822

Step by Step Solution

1. Step 1: Write the proportion equation
   85,756 : 185,822 = 185,822 : x
2. Step 2: Convert to fraction form
   85,756/185,822 = 185,822/x
3. Step 3: Cross multiply
   85,756x = 185,822 × 185,822
4. Step 4: Simplify right side
   85,756x = 34,529,815,684
5. Step 5: Solve for x
   x = 34,529,815,684/85,756
6. Step 6: Final answer
   x = 402,651.89