Finding the Third Proportional to 111,575.50 and 169,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,575.50 : 169,977.50 = 169,977.50 : x
2. Step 2: Convert to fraction form
   111,575.50/169,977.50 = 169,977.50/x
3. Step 3: Cross multiply
   111,575.50x = 169,977.50 × 169,977.50
4. Step 4: Simplify right side
   111,575.50x = 28,892,350,506.25
5. Step 5: Solve for x
   x = 28,892,350,506.25/111,575.50
6. Step 6: Final answer
   x = 258,948.88