Finding the Third Proportional to 123,365 and 264,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,365 : 264,212.50 = 264,212.50 : x
2. Step 2: Convert to fraction form
   123,365/264,212.50 = 264,212.50/x
3. Step 3: Cross multiply
   123,365x = 264,212.50 × 264,212.50
4. Step 4: Simplify right side
   123,365x = 69,808,245,156.25
5. Step 5: Solve for x
   x = 69,808,245,156.25/123,365
6. Step 6: Final answer
   x = 565,867.51