Finding the Third Proportional to 78,484 and 111,806

Step by Step Solution

1. Step 1: Write the proportion equation
   78,484 : 111,806 = 111,806 : x
2. Step 2: Convert to fraction form
   78,484/111,806 = 111,806/x
3. Step 3: Cross multiply
   78,484x = 111,806 × 111,806
4. Step 4: Simplify right side
   78,484x = 12,500,581,636
5. Step 5: Solve for x
   x = 12,500,581,636/78,484
6. Step 6: Final answer
   x = 159,275.54