Finding the Third Proportional to 123,642 and 264,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,642 : 264,775.50 = 264,775.50 : x
2. Step 2: Convert to fraction form
   123,642/264,775.50 = 264,775.50/x
3. Step 3: Cross multiply
   123,642x = 264,775.50 × 264,775.50
4. Step 4: Simplify right side
   123,642x = 70,106,065,400.25
5. Step 5: Solve for x
   x = 70,106,065,400.25/123,642
6. Step 6: Final answer
   x = 567,008.50