Finding the Third Proportional to 116,977.50 and 174,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,977.50 : 174,686.50 = 174,686.50 : x
2. Step 2: Convert to fraction form
   116,977.50/174,686.50 = 174,686.50/x
3. Step 3: Cross multiply
   116,977.50x = 174,686.50 × 174,686.50
4. Step 4: Simplify right side
   116,977.50x = 30,515,373,282.25
5. Step 5: Solve for x
   x = 30,515,373,282.25/116,977.50
6. Step 6: Final answer
   x = 260,865.32