Finding the Third Proportional to 109,179 and 175,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,179 : 175,063.50 = 175,063.50 : x
2. Step 2: Convert to fraction form
   109,179/175,063.50 = 175,063.50/x
3. Step 3: Cross multiply
   109,179x = 175,063.50 × 175,063.50
4. Step 4: Simplify right side
   109,179x = 30,647,229,032.25
5. Step 5: Solve for x
   x = 30,647,229,032.25/109,179
6. Step 6: Final answer
   x = 280,706.26