Finding the Third Proportional to 116,579.50 and 174,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,579.50 : 174,870.50 = 174,870.50 : x
2. Step 2: Convert to fraction form
   116,579.50/174,870.50 = 174,870.50/x
3. Step 3: Cross multiply
   116,579.50x = 174,870.50 × 174,870.50
4. Step 4: Simplify right side
   116,579.50x = 30,579,691,770.25
5. Step 5: Solve for x
   x = 30,579,691,770.25/116,579.50
6. Step 6: Final answer
   x = 262,307.63