Finding the Third Proportional to 111,926 and 242,778

Step by Step Solution

1. Step 1: Write the proportion equation
   111,926 : 242,778 = 242,778 : x
2. Step 2: Convert to fraction form
   111,926/242,778 = 242,778/x
3. Step 3: Cross multiply
   111,926x = 242,778 × 242,778
4. Step 4: Simplify right side
   111,926x = 58,941,157,284
5. Step 5: Solve for x
   x = 58,941,157,284/111,926
6. Step 6: Final answer
   x = 526,608.27