Finding the Third Proportional to 116,583 and 171,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,583 : 171,046.50 = 171,046.50 : x
2. Step 2: Convert to fraction form
   116,583/171,046.50 = 171,046.50/x
3. Step 3: Cross multiply
   116,583x = 171,046.50 × 171,046.50
4. Step 4: Simplify right side
   116,583x = 29,256,905,162.25
5. Step 5: Solve for x
   x = 29,256,905,162.25/116,583
6. Step 6: Final answer
   x = 250,953.44