Finding the Third Proportional to 83,208 and 112,914

Step by Step Solution

1. Step 1: Write the proportion equation
   83,208 : 112,914 = 112,914 : x
2. Step 2: Convert to fraction form
   83,208/112,914 = 112,914/x
3. Step 3: Cross multiply
   83,208x = 112,914 × 112,914
4. Step 4: Simplify right side
   83,208x = 12,749,571,396
5. Step 5: Solve for x
   x = 12,749,571,396/83,208
6. Step 6: Final answer
   x = 153,225.31