Finding the Third Proportional to 123,358 and 264,188

Step by Step Solution

1. Step 1: Write the proportion equation
   123,358 : 264,188 = 264,188 : x
2. Step 2: Convert to fraction form
   123,358/264,188 = 264,188/x
3. Step 3: Cross multiply
   123,358x = 264,188 × 264,188
4. Step 4: Simplify right side
   123,358x = 69,795,299,344
5. Step 5: Solve for x
   x = 69,795,299,344/123,358
6. Step 6: Final answer
   x = 565,794.67