Finding the Third Proportional to 52,264 and 123,356

Step by Step Solution

1. Step 1: Write the proportion equation
   52,264 : 123,356 = 123,356 : x
2. Step 2: Convert to fraction form
   52,264/123,356 = 123,356/x
3. Step 3: Cross multiply
   52,264x = 123,356 × 123,356
4. Step 4: Simplify right side
   52,264x = 15,216,702,736
5. Step 5: Solve for x
   x = 15,216,702,736/52,264
6. Step 6: Final answer
   x = 291,150.75