Finding the Third Proportional to 107,829 and 155,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,829 : 155,458.50 = 155,458.50 : x
2. Step 2: Convert to fraction form
   107,829/155,458.50 = 155,458.50/x
3. Step 3: Cross multiply
   107,829x = 155,458.50 × 155,458.50
4. Step 4: Simplify right side
   107,829x = 24,167,345,222.25
5. Step 5: Solve for x
   x = 24,167,345,222.25/107,829
6. Step 6: Final answer
   x = 224,126.58