Finding the Third Proportional to 123,196.50 and 264,807

Step by Step Solution

1. Step 1: Write the proportion equation
   123,196.50 : 264,807 = 264,807 : x
2. Step 2: Convert to fraction form
   123,196.50/264,807 = 264,807/x
3. Step 3: Cross multiply
   123,196.50x = 264,807 × 264,807
4. Step 4: Simplify right side
   123,196.50x = 70,122,747,249
5. Step 5: Solve for x
   x = 70,122,747,249/123,196.50
6. Step 6: Final answer
   x = 569,194.31