Finding the Third Proportional to 105,051.75 and 151,013.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,051.75 : 151,013.25 = 151,013.25 : x
2. Step 2: Convert to fraction form
   105,051.75/151,013.25 = 151,013.25/x
3. Step 3: Cross multiply
   105,051.75x = 151,013.25 × 151,013.25
4. Step 4: Simplify right side
   105,051.75x = 22,805,001,675.56
5. Step 5: Solve for x
   x = 22,805,001,675.56/105,051.75
6. Step 6: Final answer
   x = 217,083.50