Finding the Third Proportional to 116,583.75 and 174,976.88

Step by Step Solution

1. Step 1: Write the proportion equation
   116,583.75 : 174,976.88 = 174,976.88 : x
2. Step 2: Convert to fraction form
   116,583.75/174,976.88 = 174,976.88/x
3. Step 3: Cross multiply
   116,583.75x = 174,976.88 × 174,976.88
4. Step 4: Simplify right side
   116,583.75x = 30,616,906,784.77
5. Step 5: Solve for x
   x = 30,616,906,784.77/116,583.75
6. Step 6: Final answer
   x = 262,617.28