Finding the Third Proportional to 100,168 and 152,778

Step by Step Solution

1. Step 1: Write the proportion equation
   100,168 : 152,778 = 152,778 : x
2. Step 2: Convert to fraction form
   100,168/152,778 = 152,778/x
3. Step 3: Cross multiply
   100,168x = 152,778 × 152,778
4. Step 4: Simplify right side
   100,168x = 23,341,117,284
5. Step 5: Solve for x
   x = 23,341,117,284/100,168
6. Step 6: Final answer
   x = 233,019.70