Finding the Third Proportional to 105,210 and 147,986

Step by Step Solution

1. Step 1: Write the proportion equation
   105,210 : 147,986 = 147,986 : x
2. Step 2: Convert to fraction form
   105,210/147,986 = 147,986/x
3. Step 3: Cross multiply
   105,210x = 147,986 × 147,986
4. Step 4: Simplify right side
   105,210x = 21,899,856,196
5. Step 5: Solve for x
   x = 21,899,856,196/105,210
6. Step 6: Final answer
   x = 208,153.75