Finding the Third Proportional to 117,699 and 257,265.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,699 : 257,265.75 = 257,265.75 : x
2. Step 2: Convert to fraction form
   117,699/257,265.75 = 257,265.75/x
3. Step 3: Cross multiply
   117,699x = 257,265.75 × 257,265.75
4. Step 4: Simplify right side
   117,699x = 66,185,666,123.06
5. Step 5: Solve for x
   x = 66,185,666,123.06/117,699
6. Step 6: Final answer
   x = 562,329.89