Finding the Third Proportional to 117,013.50 and 174,735

Step by Step Solution

1. Step 1: Write the proportion equation
   117,013.50 : 174,735 = 174,735 : x
2. Step 2: Convert to fraction form
   117,013.50/174,735 = 174,735/x
3. Step 3: Cross multiply
   117,013.50x = 174,735 × 174,735
4. Step 4: Simplify right side
   117,013.50x = 30,532,320,225
5. Step 5: Solve for x
   x = 30,532,320,225/117,013.50
6. Step 6: Final answer
   x = 260,929.89