Finding the Third Proportional to 85,695 and 185,691.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,695 : 185,691.25 = 185,691.25 : x
2. Step 2: Convert to fraction form
   85,695/185,691.25 = 185,691.25/x
3. Step 3: Cross multiply
   85,695x = 185,691.25 × 185,691.25
4. Step 4: Simplify right side
   85,695x = 34,481,240,326.56
5. Step 5: Solve for x
   x = 34,481,240,326.56/85,695
6. Step 6: Final answer
   x = 402,371.67