Finding the Third Proportional to 116,567 and 171,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,567 : 171,024.50 = 171,024.50 : x
2. Step 2: Convert to fraction form
   116,567/171,024.50 = 171,024.50/x
3. Step 3: Cross multiply
   116,567x = 171,024.50 × 171,024.50
4. Step 4: Simplify right side
   116,567x = 29,249,379,600.25
5. Step 5: Solve for x
   x = 29,249,379,600.25/116,567
6. Step 6: Final answer
   x = 250,923.33