Finding the Third Proportional to 105,214 and 147,992

Step by Step Solution

1. Step 1: Write the proportion equation
   105,214 : 147,992 = 147,992 : x
2. Step 2: Convert to fraction form
   105,214/147,992 = 147,992/x
3. Step 3: Cross multiply
   105,214x = 147,992 × 147,992
4. Step 4: Simplify right side
   105,214x = 21,901,632,064
5. Step 5: Solve for x
   x = 21,901,632,064/105,214
6. Step 6: Final answer
   x = 208,162.72