Finding the Third Proportional to 85,032 and 185,606

Step by Step Solution

1. Step 1: Write the proportion equation
   85,032 : 185,606 = 185,606 : x
2. Step 2: Convert to fraction form
   85,032/185,606 = 185,606/x
3. Step 3: Cross multiply
   85,032x = 185,606 × 185,606
4. Step 4: Simplify right side
   85,032x = 34,449,587,236
5. Step 5: Solve for x
   x = 34,449,587,236/85,032
6. Step 6: Final answer
   x = 405,136.74