Finding the Third Proportional to 100,974 and 158,411.25

Step by Step Solution

1. Step 1: Write the proportion equation
   100,974 : 158,411.25 = 158,411.25 : x
2. Step 2: Convert to fraction form
   100,974/158,411.25 = 158,411.25/x
3. Step 3: Cross multiply
   100,974x = 158,411.25 × 158,411.25
4. Step 4: Simplify right side
   100,974x = 25,094,124,126.56
5. Step 5: Solve for x
   x = 25,094,124,126.56/100,974
6. Step 6: Final answer
   x = 248,520.65