Finding the Third Proportional to 75,832 and 111,010

Step by Step Solution

1. Step 1: Write the proportion equation
   75,832 : 111,010 = 111,010 : x
2. Step 2: Convert to fraction form
   75,832/111,010 = 111,010/x
3. Step 3: Cross multiply
   75,832x = 111,010 × 111,010
4. Step 4: Simplify right side
   75,832x = 12,323,220,100
5. Step 5: Solve for x
   x = 12,323,220,100/75,832
6. Step 6: Final answer
   x = 162,506.86