Finding the Third Proportional to 116,656 and 257,932

Step by Step Solution

1. Step 1: Write the proportion equation
   116,656 : 257,932 = 257,932 : x
2. Step 2: Convert to fraction form
   116,656/257,932 = 257,932/x
3. Step 3: Cross multiply
   116,656x = 257,932 × 257,932
4. Step 4: Simplify right side
   116,656x = 66,528,916,624
5. Step 5: Solve for x
   x = 66,528,916,624/116,656
6. Step 6: Final answer
   x = 570,300.00