Finding the Third Proportional to 85,847 and 187,064

Step by Step Solution

1. Step 1: Write the proportion equation
   85,847 : 187,064 = 187,064 : x
2. Step 2: Convert to fraction form
   85,847/187,064 = 187,064/x
3. Step 3: Cross multiply
   85,847x = 187,064 × 187,064
4. Step 4: Simplify right side
   85,847x = 34,992,940,096
5. Step 5: Solve for x
   x = 34,992,940,096/85,847
6. Step 6: Final answer
   x = 407,619.84