Finding the Third Proportional to 85,472 and 187,456

Step by Step Solution

1. Step 1: Write the proportion equation
   85,472 : 187,456 = 187,456 : x
2. Step 2: Convert to fraction form
   85,472/187,456 = 187,456/x
3. Step 3: Cross multiply
   85,472x = 187,456 × 187,456
4. Step 4: Simplify right side
   85,472x = 35,139,751,936
5. Step 5: Solve for x
   x = 35,139,751,936/85,472
6. Step 6: Final answer
   x = 411,125.89