Finding the Third Proportional to 116,012.25 and 173,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,012.25 : 173,947.50 = 173,947.50 : x
2. Step 2: Convert to fraction form
   116,012.25/173,947.50 = 173,947.50/x
3. Step 3: Cross multiply
   116,012.25x = 173,947.50 × 173,947.50
4. Step 4: Simplify right side
   116,012.25x = 30,257,732,756.25
5. Step 5: Solve for x
   x = 30,257,732,756.25/116,012.25
6. Step 6: Final answer
   x = 260,814.98