Finding the Third Proportional to 117,699.75 and 257,406

Step by Step Solution

1. Step 1: Write the proportion equation
   117,699.75 : 257,406 = 257,406 : x
2. Step 2: Convert to fraction form
   117,699.75/257,406 = 257,406/x
3. Step 3: Cross multiply
   117,699.75x = 257,406 × 257,406
4. Step 4: Simplify right side
   117,699.75x = 66,257,848,836
5. Step 5: Solve for x
   x = 66,257,848,836/117,699.75
6. Step 6: Final answer
   x = 562,939.59