Finding the Third Proportional to 123,124 and 265,688

Step by Step Solution

1. Step 1: Write the proportion equation
   123,124 : 265,688 = 265,688 : x
2. Step 2: Convert to fraction form
   123,124/265,688 = 265,688/x
3. Step 3: Cross multiply
   123,124x = 265,688 × 265,688
4. Step 4: Simplify right side
   123,124x = 70,590,113,344
5. Step 5: Solve for x
   x = 70,590,113,344/123,124
6. Step 6: Final answer
   x = 573,325.37