Finding the Third Proportional to 112,822 and 241,196

Step by Step Solution

1. Step 1: Write the proportion equation
   112,822 : 241,196 = 241,196 : x
2. Step 2: Convert to fraction form
   112,822/241,196 = 241,196/x
3. Step 3: Cross multiply
   112,822x = 241,196 × 241,196
4. Step 4: Simplify right side
   112,822x = 58,175,510,416
5. Step 5: Solve for x
   x = 58,175,510,416/112,822
6. Step 6: Final answer
   x = 515,639.77