Finding the Third Proportional to 111,029.50 and 169,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,029.50 : 169,307.50 = 169,307.50 : x
2. Step 2: Convert to fraction form
   111,029.50/169,307.50 = 169,307.50/x
3. Step 3: Cross multiply
   111,029.50x = 169,307.50 × 169,307.50
4. Step 4: Simplify right side
   111,029.50x = 28,665,029,556.25
5. Step 5: Solve for x
   x = 28,665,029,556.25/111,029.50
6. Step 6: Final answer
   x = 258,174.90