Finding the Third Proportional to 111,521.50 and 158,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,521.50 : 158,977.50 = 158,977.50 : x
2. Step 2: Convert to fraction form
   111,521.50/158,977.50 = 158,977.50/x
3. Step 3: Cross multiply
   111,521.50x = 158,977.50 × 158,977.50
4. Step 4: Simplify right side
   111,521.50x = 25,273,845,506.25
5. Step 5: Solve for x
   x = 25,273,845,506.25/111,521.50
6. Step 6: Final answer
   x = 226,627.56