Finding the Third Proportional to 105,930 and 155,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,930 : 155,506.50 = 155,506.50 : x
2. Step 2: Convert to fraction form
   105,930/155,506.50 = 155,506.50/x
3. Step 3: Cross multiply
   105,930x = 155,506.50 × 155,506.50
4. Step 4: Simplify right side
   105,930x = 24,182,271,542.25
5. Step 5: Solve for x
   x = 24,182,271,542.25/105,930
6. Step 6: Final answer
   x = 228,285.39