Finding the Third Proportional to 54,322 and 115,164

Step by Step Solution

1. Step 1: Write the proportion equation
   54,322 : 115,164 = 115,164 : x
2. Step 2: Convert to fraction form
   54,322/115,164 = 115,164/x
3. Step 3: Cross multiply
   54,322x = 115,164 × 115,164
4. Step 4: Simplify right side
   54,322x = 13,262,746,896
5. Step 5: Solve for x
   x = 13,262,746,896/54,322
6. Step 6: Final answer
   x = 244,150.56