Finding the Third Proportional to 85,047 and 185,634

Step by Step Solution

1. Step 1: Write the proportion equation
   85,047 : 185,634 = 185,634 : x
2. Step 2: Convert to fraction form
   85,047/185,634 = 185,634/x
3. Step 3: Cross multiply
   85,047x = 185,634 × 185,634
4. Step 4: Simplify right side
   85,047x = 34,459,981,956
5. Step 5: Solve for x
   x = 34,459,981,956/85,047
6. Step 6: Final answer
   x = 405,187.51