Finding the Third Proportional to 85,264 and 185,788

Step by Step Solution

1. Step 1: Write the proportion equation
   85,264 : 185,788 = 185,788 : x
2. Step 2: Convert to fraction form
   85,264/185,788 = 185,788/x
3. Step 3: Cross multiply
   85,264x = 185,788 × 185,788
4. Step 4: Simplify right side
   85,264x = 34,517,180,944
5. Step 5: Solve for x
   x = 34,517,180,944/85,264
6. Step 6: Final answer
   x = 404,827.14