Finding the Third Proportional to 85,768 and 185,846

Step by Step Solution

1. Step 1: Write the proportion equation
   85,768 : 185,846 = 185,846 : x
2. Step 2: Convert to fraction form
   85,768/185,846 = 185,846/x
3. Step 3: Cross multiply
   85,768x = 185,846 × 185,846
4. Step 4: Simplify right side
   85,768x = 34,538,735,716
5. Step 5: Solve for x
   x = 34,538,735,716/85,768
6. Step 6: Final answer
   x = 402,699.56