Finding the Third Proportional to 52,922 and 116,212

Step by Step Solution

1. Step 1: Write the proportion equation
   52,922 : 116,212 = 116,212 : x
2. Step 2: Convert to fraction form
   52,922/116,212 = 116,212/x
3. Step 3: Cross multiply
   52,922x = 116,212 × 116,212
4. Step 4: Simplify right side
   52,922x = 13,505,228,944
5. Step 5: Solve for x
   x = 13,505,228,944/52,922
6. Step 6: Final answer
   x = 255,191.20