Finding the Third Proportional to 115,819.50 and 174,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,819.50 : 174,007.50 = 174,007.50 : x
2. Step 2: Convert to fraction form
   115,819.50/174,007.50 = 174,007.50/x
3. Step 3: Cross multiply
   115,819.50x = 174,007.50 × 174,007.50
4. Step 4: Simplify right side
   115,819.50x = 30,278,610,056.25
5. Step 5: Solve for x
   x = 30,278,610,056.25/115,819.50
6. Step 6: Final answer
   x = 261,429.29