Finding the Third Proportional to 123,347 and 264,186

Step by Step Solution

1. Step 1: Write the proportion equation
   123,347 : 264,186 = 264,186 : x
2. Step 2: Convert to fraction form
   123,347/264,186 = 264,186/x
3. Step 3: Cross multiply
   123,347x = 264,186 × 264,186
4. Step 4: Simplify right side
   123,347x = 69,794,242,596
5. Step 5: Solve for x
   x = 69,794,242,596/123,347
6. Step 6: Final answer
   x = 565,836.56