Finding the Third Proportional to 101,277 and 157,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,277 : 157,216.50 = 157,216.50 : x
2. Step 2: Convert to fraction form
   101,277/157,216.50 = 157,216.50/x
3. Step 3: Cross multiply
   101,277x = 157,216.50 × 157,216.50
4. Step 4: Simplify right side
   101,277x = 24,717,027,872.25
5. Step 5: Solve for x
   x = 24,717,027,872.25/101,277
6. Step 6: Final answer
   x = 244,053.71