Finding the Third Proportional to 117,733.50 and 256,485

Step by Step Solution

1. Step 1: Write the proportion equation
   117,733.50 : 256,485 = 256,485 : x
2. Step 2: Convert to fraction form
   117,733.50/256,485 = 256,485/x
3. Step 3: Cross multiply
   117,733.50x = 256,485 × 256,485
4. Step 4: Simplify right side
   117,733.50x = 65,784,555,225
5. Step 5: Solve for x
   x = 65,784,555,225/117,733.50
6. Step 6: Final answer
   x = 558,758.17