Finding the Third Proportional to 76,034 and 111,075

Step by Step Solution

1. Step 1: Write the proportion equation
   76,034 : 111,075 = 111,075 : x
2. Step 2: Convert to fraction form
   76,034/111,075 = 111,075/x
3. Step 3: Cross multiply
   76,034x = 111,075 × 111,075
4. Step 4: Simplify right side
   76,034x = 12,337,655,625
5. Step 5: Solve for x
   x = 12,337,655,625/76,034
6. Step 6: Final answer
   x = 162,264.98