Finding the Third Proportional to 101,345.25 and 158,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,345.25 : 158,977.50 = 158,977.50 : x
2. Step 2: Convert to fraction form
   101,345.25/158,977.50 = 158,977.50/x
3. Step 3: Cross multiply
   101,345.25x = 158,977.50 × 158,977.50
4. Step 4: Simplify right side
   101,345.25x = 25,273,845,506.25
5. Step 5: Solve for x
   x = 25,273,845,506.25/101,345.25
6. Step 6: Final answer
   x = 249,383.62