Finding the Third Proportional to 105,212 and 147,989

Step by Step Solution

1. Step 1: Write the proportion equation
   105,212 : 147,989 = 147,989 : x
2. Step 2: Convert to fraction form
   105,212/147,989 = 147,989/x
3. Step 3: Cross multiply
   105,212x = 147,989 × 147,989
4. Step 4: Simplify right side
   105,212x = 21,900,744,121
5. Step 5: Solve for x
   x = 21,900,744,121/105,212
6. Step 6: Final answer
   x = 208,158.23