Finding the Third Proportional to 112,638 and 157,475.25

Step by Step Solution

1. Step 1: Write the proportion equation
   112,638 : 157,475.25 = 157,475.25 : x
2. Step 2: Convert to fraction form
   112,638/157,475.25 = 157,475.25/x
3. Step 3: Cross multiply
   112,638x = 157,475.25 × 157,475.25
4. Step 4: Simplify right side
   112,638x = 24,798,454,362.56
5. Step 5: Solve for x
   x = 24,798,454,362.56/112,638
6. Step 6: Final answer
   x = 220,160.64