Finding the Third Proportional to 111,922 and 242,770

Step by Step Solution

1. Step 1: Write the proportion equation
   111,922 : 242,770 = 242,770 : x
2. Step 2: Convert to fraction form
   111,922/242,770 = 242,770/x
3. Step 3: Cross multiply
   111,922x = 242,770 × 242,770
4. Step 4: Simplify right side
   111,922x = 58,937,272,900
5. Step 5: Solve for x
   x = 58,937,272,900/111,922
6. Step 6: Final answer
   x = 526,592.38