Finding the Third Proportional to 53,316 and 123,427

Step by Step Solution

1. Step 1: Write the proportion equation
   53,316 : 123,427 = 123,427 : x
2. Step 2: Convert to fraction form
   53,316/123,427 = 123,427/x
3. Step 3: Cross multiply
   53,316x = 123,427 × 123,427
4. Step 4: Simplify right side
   53,316x = 15,234,224,329
5. Step 5: Solve for x
   x = 15,234,224,329/53,316
6. Step 6: Final answer
   x = 285,734.57