Finding the Third Proportional to 105,123 and 158,778

Step by Step Solution

1. Step 1: Write the proportion equation
   105,123 : 158,778 = 158,778 : x
2. Step 2: Convert to fraction form
   105,123/158,778 = 158,778/x
3. Step 3: Cross multiply
   105,123x = 158,778 × 158,778
4. Step 4: Simplify right side
   105,123x = 25,210,453,284
5. Step 5: Solve for x
   x = 25,210,453,284/105,123
6. Step 6: Final answer
   x = 239,818.62