Finding the Third Proportional to 116,679.50 and 174,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,679.50 : 174,274.50 = 174,274.50 : x
2. Step 2: Convert to fraction form
   116,679.50/174,274.50 = 174,274.50/x
3. Step 3: Cross multiply
   116,679.50x = 174,274.50 × 174,274.50
4. Step 4: Simplify right side
   116,679.50x = 30,371,601,350.25
5. Step 5: Solve for x
   x = 30,371,601,350.25/116,679.50
6. Step 6: Final answer
   x = 260,299.38