Finding the Third Proportional to 123,333 and 265,080

Step by Step Solution

1. Step 1: Write the proportion equation
   123,333 : 265,080 = 265,080 : x
2. Step 2: Convert to fraction form
   123,333/265,080 = 265,080/x
3. Step 3: Cross multiply
   123,333x = 265,080 × 265,080
4. Step 4: Simplify right side
   123,333x = 70,267,406,400
5. Step 5: Solve for x
   x = 70,267,406,400/123,333
6. Step 6: Final answer
   x = 569,737.27