Finding the Third Proportional to 105,106 and 151,098

Step by Step Solution

1. Step 1: Write the proportion equation
   105,106 : 151,098 = 151,098 : x
2. Step 2: Convert to fraction form
   105,106/151,098 = 151,098/x
3. Step 3: Cross multiply
   105,106x = 151,098 × 151,098
4. Step 4: Simplify right side
   105,106x = 22,830,605,604
5. Step 5: Solve for x
   x = 22,830,605,604/105,106
6. Step 6: Final answer
   x = 217,215.06