Finding the Third Proportional to 116,930 and 257,188

Step by Step Solution

1. Step 1: Write the proportion equation
   116,930 : 257,188 = 257,188 : x
2. Step 2: Convert to fraction form
   116,930/257,188 = 257,188/x
3. Step 3: Cross multiply
   116,930x = 257,188 × 257,188
4. Step 4: Simplify right side
   116,930x = 66,145,667,344
5. Step 5: Solve for x
   x = 66,145,667,344/116,930
6. Step 6: Final answer
   x = 565,686.03