Finding the Third Proportional to 75,505 and 111,064

Step by Step Solution

1. Step 1: Write the proportion equation
   75,505 : 111,064 = 111,064 : x
2. Step 2: Convert to fraction form
   75,505/111,064 = 111,064/x
3. Step 3: Cross multiply
   75,505x = 111,064 × 111,064
4. Step 4: Simplify right side
   75,505x = 12,335,212,096
5. Step 5: Solve for x
   x = 12,335,212,096/75,505
6. Step 6: Final answer
   x = 163,369.47