Finding the Third Proportional to 123,277 and 265,281

Step by Step Solution

1. Step 1: Write the proportion equation
   123,277 : 265,281 = 265,281 : x
2. Step 2: Convert to fraction form
   123,277/265,281 = 265,281/x
3. Step 3: Cross multiply
   123,277x = 265,281 × 265,281
4. Step 4: Simplify right side
   123,277x = 70,374,008,961
5. Step 5: Solve for x
   x = 70,374,008,961/123,277
6. Step 6: Final answer
   x = 570,860.82