Finding the Third Proportional to 123,507 and 265,738

Step by Step Solution

1. Step 1: Write the proportion equation
   123,507 : 265,738 = 265,738 : x
2. Step 2: Convert to fraction form
   123,507/265,738 = 265,738/x
3. Step 3: Cross multiply
   123,507x = 265,738 × 265,738
4. Step 4: Simplify right side
   123,507x = 70,616,684,644
5. Step 5: Solve for x
   x = 70,616,684,644/123,507
6. Step 6: Final answer
   x = 571,762.61