Finding the Third Proportional to 105,898.50 and 152,997.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,898.50 : 152,997.75 = 152,997.75 : x
2. Step 2: Convert to fraction form
   105,898.50/152,997.75 = 152,997.75/x
3. Step 3: Cross multiply
   105,898.50x = 152,997.75 × 152,997.75
4. Step 4: Simplify right side
   105,898.50x = 23,408,311,505.06
5. Step 5: Solve for x
   x = 23,408,311,505.06/105,898.50
6. Step 6: Final answer
   x = 221,044.79