Finding the Third Proportional to 106,293 and 159,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,293 : 159,175.50 = 159,175.50 : x
2. Step 2: Convert to fraction form
   106,293/159,175.50 = 159,175.50/x
3. Step 3: Cross multiply
   106,293x = 159,175.50 × 159,175.50
4. Step 4: Simplify right side
   106,293x = 25,336,839,800.25
5. Step 5: Solve for x
   x = 25,336,839,800.25/106,293
6. Step 6: Final answer
   x = 238,367.91