Finding the Third Proportional to 123,148.50 and 265,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,148.50 : 265,942.50 = 265,942.50 : x
2. Step 2: Convert to fraction form
   123,148.50/265,942.50 = 265,942.50/x
3. Step 3: Cross multiply
   123,148.50x = 265,942.50 × 265,942.50
4. Step 4: Simplify right side
   123,148.50x = 70,725,413,306.25
5. Step 5: Solve for x
   x = 70,725,413,306.25/123,148.50
6. Step 6: Final answer
   x = 574,309.99