Finding the Third Proportional to 73,826 and 111,507

Step by Step Solution

1. Step 1: Write the proportion equation
   73,826 : 111,507 = 111,507 : x
2. Step 2: Convert to fraction form
   73,826/111,507 = 111,507/x
3. Step 3: Cross multiply
   73,826x = 111,507 × 111,507
4. Step 4: Simplify right side
   73,826x = 12,433,811,049
5. Step 5: Solve for x
   x = 12,433,811,049/73,826
6. Step 6: Final answer
   x = 168,420.49