Finding the Third Proportional to 78,206 and 111,429

Step by Step Solution

1. Step 1: Write the proportion equation
   78,206 : 111,429 = 111,429 : x
2. Step 2: Convert to fraction form
   78,206/111,429 = 111,429/x
3. Step 3: Cross multiply
   78,206x = 111,429 × 111,429
4. Step 4: Simplify right side
   78,206x = 12,416,422,041
5. Step 5: Solve for x
   x = 12,416,422,041/78,206
6. Step 6: Final answer
   x = 158,765.59