Finding the Third Proportional to 123,670.50 and 264,864

Step by Step Solution

1. Step 1: Write the proportion equation
   123,670.50 : 264,864 = 264,864 : x
2. Step 2: Convert to fraction form
   123,670.50/264,864 = 264,864/x
3. Step 3: Cross multiply
   123,670.50x = 264,864 × 264,864
4. Step 4: Simplify right side
   123,670.50x = 70,152,938,496
5. Step 5: Solve for x
   x = 70,152,938,496/123,670.50
6. Step 6: Final answer
   x = 567,256.85