Finding the Third Proportional to 102,834 and 155,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,834 : 155,344.50 = 155,344.50 : x
2. Step 2: Convert to fraction form
   102,834/155,344.50 = 155,344.50/x
3. Step 3: Cross multiply
   102,834x = 155,344.50 × 155,344.50
4. Step 4: Simplify right side
   102,834x = 24,131,913,680.25
5. Step 5: Solve for x
   x = 24,131,913,680.25/102,834
6. Step 6: Final answer
   x = 234,668.63