Finding the Third Proportional to 105,206 and 147,980

Step by Step Solution

1. Step 1: Write the proportion equation
   105,206 : 147,980 = 147,980 : x
2. Step 2: Convert to fraction form
   105,206/147,980 = 147,980/x
3. Step 3: Cross multiply
   105,206x = 147,980 × 147,980
4. Step 4: Simplify right side
   105,206x = 21,898,080,400
5. Step 5: Solve for x
   x = 21,898,080,400/105,206
6. Step 6: Final answer
   x = 208,144.79