Finding the Third Proportional to 123,926 and 265,840

Step by Step Solution

1. Step 1: Write the proportion equation
   123,926 : 265,840 = 265,840 : x
2. Step 2: Convert to fraction form
   123,926/265,840 = 265,840/x
3. Step 3: Cross multiply
   123,926x = 265,840 × 265,840
4. Step 4: Simplify right side
   123,926x = 70,670,905,600
5. Step 5: Solve for x
   x = 70,670,905,600/123,926
6. Step 6: Final answer
   x = 570,266.98