Finding the Third Proportional to 101,794 and 158,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,794 : 158,507.50 = 158,507.50 : x
2. Step 2: Convert to fraction form
   101,794/158,507.50 = 158,507.50/x
3. Step 3: Cross multiply
   101,794x = 158,507.50 × 158,507.50
4. Step 4: Simplify right side
   101,794x = 25,124,627,556.25
5. Step 5: Solve for x
   x = 25,124,627,556.25/101,794
6. Step 6: Final answer
   x = 246,818.35