Finding the Third Proportional to 105,948 and 155,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,948 : 155,533.50 = 155,533.50 : x
2. Step 2: Convert to fraction form
   105,948/155,533.50 = 155,533.50/x
3. Step 3: Cross multiply
   105,948x = 155,533.50 × 155,533.50
4. Step 4: Simplify right side
   105,948x = 24,190,669,622.25
5. Step 5: Solve for x
   x = 24,190,669,622.25/105,948
6. Step 6: Final answer
   x = 228,325.87