Finding the Third Proportional to 116,981.50 and 174,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,981.50 : 174,691.50 = 174,691.50 : x
2. Step 2: Convert to fraction form
   116,981.50/174,691.50 = 174,691.50/x
3. Step 3: Cross multiply
   116,981.50x = 174,691.50 × 174,691.50
4. Step 4: Simplify right side
   116,981.50x = 30,517,120,172.25
5. Step 5: Solve for x
   x = 30,517,120,172.25/116,981.50
6. Step 6: Final answer
   x = 260,871.34