Finding the Third Proportional to 116,942 and 257,208

Step by Step Solution

1. Step 1: Write the proportion equation
   116,942 : 257,208 = 257,208 : x
2. Step 2: Convert to fraction form
   116,942/257,208 = 257,208/x
3. Step 3: Cross multiply
   116,942x = 257,208 × 257,208
4. Step 4: Simplify right side
   116,942x = 66,155,955,264
5. Step 5: Solve for x
   x = 66,155,955,264/116,942
6. Step 6: Final answer
   x = 565,715.96