Finding the Third Proportional to 117,702.75 and 257,412

Step by Step Solution

1. Step 1: Write the proportion equation
   117,702.75 : 257,412 = 257,412 : x
2. Step 2: Convert to fraction form
   117,702.75/257,412 = 257,412/x
3. Step 3: Cross multiply
   117,702.75x = 257,412 × 257,412
4. Step 4: Simplify right side
   117,702.75x = 66,260,937,744
5. Step 5: Solve for x
   x = 66,260,937,744/117,702.75
6. Step 6: Final answer
   x = 562,951.48