Finding the Third Proportional to 85,061 and 185,665

Step by Step Solution

1. Step 1: Write the proportion equation
   85,061 : 185,665 = 185,665 : x
2. Step 2: Convert to fraction form
   85,061/185,665 = 185,665/x
3. Step 3: Cross multiply
   85,061x = 185,665 × 185,665
4. Step 4: Simplify right side
   85,061x = 34,471,492,225
5. Step 5: Solve for x
   x = 34,471,492,225/85,061
6. Step 6: Final answer
   x = 405,256.14