Finding the Third Proportional to 107,823 and 155,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,823 : 155,449.50 = 155,449.50 : x
2. Step 2: Convert to fraction form
   107,823/155,449.50 = 155,449.50/x
3. Step 3: Cross multiply
   107,823x = 155,449.50 × 155,449.50
4. Step 4: Simplify right side
   107,823x = 24,164,547,050.25
5. Step 5: Solve for x
   x = 24,164,547,050.25/107,823
6. Step 6: Final answer
   x = 224,113.10