Finding the Third Proportional to 57,364 and 123,516

Step by Step Solution

1. Step 1: Write the proportion equation
   57,364 : 123,516 = 123,516 : x
2. Step 2: Convert to fraction form
   57,364/123,516 = 123,516/x
3. Step 3: Cross multiply
   57,364x = 123,516 × 123,516
4. Step 4: Simplify right side
   57,364x = 15,256,202,256
5. Step 5: Solve for x
   x = 15,256,202,256/57,364
6. Step 6: Final answer
   x = 265,954.30