Finding the Third Proportional to 117,958.50 and 256,653

Step by Step Solution

1. Step 1: Write the proportion equation
   117,958.50 : 256,653 = 256,653 : x
2. Step 2: Convert to fraction form
   117,958.50/256,653 = 256,653/x
3. Step 3: Cross multiply
   117,958.50x = 256,653 × 256,653
4. Step 4: Simplify right side
   117,958.50x = 65,870,762,409
5. Step 5: Solve for x
   x = 65,870,762,409/117,958.50
6. Step 6: Final answer
   x = 558,423.19