Finding the Third Proportional to 117,282.50 and 257,400

Step by Step Solution

1. Step 1: Write the proportion equation
   117,282.50 : 257,400 = 257,400 : x
2. Step 2: Convert to fraction form
   117,282.50/257,400 = 257,400/x
3. Step 3: Cross multiply
   117,282.50x = 257,400 × 257,400
4. Step 4: Simplify right side
   117,282.50x = 66,254,760,000
5. Step 5: Solve for x
   x = 66,254,760,000/117,282.50
6. Step 6: Final answer
   x = 564,915.99