Finding the Third Proportional to 123,174 and 265,575

Step by Step Solution

1. Step 1: Write the proportion equation
   123,174 : 265,575 = 265,575 : x
2. Step 2: Convert to fraction form
   123,174/265,575 = 265,575/x
3. Step 3: Cross multiply
   123,174x = 265,575 × 265,575
4. Step 4: Simplify right side
   123,174x = 70,530,080,625
5. Step 5: Solve for x
   x = 70,530,080,625/123,174
6. Step 6: Final answer
   x = 572,605.26