Finding the Third Proportional to 123,776 and 264,184

Step by Step Solution

1. Step 1: Write the proportion equation
   123,776 : 264,184 = 264,184 : x
2. Step 2: Convert to fraction form
   123,776/264,184 = 264,184/x
3. Step 3: Cross multiply
   123,776x = 264,184 × 264,184
4. Step 4: Simplify right side
   123,776x = 69,793,185,856
5. Step 5: Solve for x
   x = 69,793,185,856/123,776
6. Step 6: Final answer
   x = 563,866.87