Finding the Third Proportional to 123,344 and 265,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,344 : 265,398.50 = 265,398.50 : x
2. Step 2: Convert to fraction form
   123,344/265,398.50 = 265,398.50/x
3. Step 3: Cross multiply
   123,344x = 265,398.50 × 265,398.50
4. Step 4: Simplify right side
   123,344x = 70,436,363,802.25
5. Step 5: Solve for x
   x = 70,436,363,802.25/123,344
6. Step 6: Final answer
   x = 571,056.26