Finding the Third Proportional to 48,233 and 100,162

Step by Step Solution

1. Step 1: Write the proportion equation
   48,233 : 100,162 = 100,162 : x
2. Step 2: Convert to fraction form
   48,233/100,162 = 100,162/x
3. Step 3: Cross multiply
   48,233x = 100,162 × 100,162
4. Step 4: Simplify right side
   48,233x = 10,032,426,244
5. Step 5: Solve for x
   x = 10,032,426,244/48,233
6. Step 6: Final answer
   x = 207,999.22