Finding the Third Proportional to 85,253 and 185,770

Step by Step Solution

1. Step 1: Write the proportion equation
   85,253 : 185,770 = 185,770 : x
2. Step 2: Convert to fraction form
   85,253/185,770 = 185,770/x
3. Step 3: Cross multiply
   85,253x = 185,770 × 185,770
4. Step 4: Simplify right side
   85,253x = 34,510,492,900
5. Step 5: Solve for x
   x = 34,510,492,900/85,253
6. Step 6: Final answer
   x = 404,800.92