Finding the Third Proportional to 85,188 and 185,244

Step by Step Solution

1. Step 1: Write the proportion equation
   85,188 : 185,244 = 185,244 : x
2. Step 2: Convert to fraction form
   85,188/185,244 = 185,244/x
3. Step 3: Cross multiply
   85,188x = 185,244 × 185,244
4. Step 4: Simplify right side
   85,188x = 34,315,339,536
5. Step 5: Solve for x
   x = 34,315,339,536/85,188
6. Step 6: Final answer
   x = 402,818.94