Finding the Third Proportional to 123,219 and 264,840

Step by Step Solution

1. Step 1: Write the proportion equation
   123,219 : 264,840 = 264,840 : x
2. Step 2: Convert to fraction form
   123,219/264,840 = 264,840/x
3. Step 3: Cross multiply
   123,219x = 264,840 × 264,840
4. Step 4: Simplify right side
   123,219x = 70,140,225,600
5. Step 5: Solve for x
   x = 70,140,225,600/123,219
6. Step 6: Final answer
   x = 569,232.23