Finding the Third Proportional to 114,939 and 171,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,939 : 171,706.50 = 171,706.50 : x
2. Step 2: Convert to fraction form
   114,939/171,706.50 = 171,706.50/x
3. Step 3: Cross multiply
   114,939x = 171,706.50 × 171,706.50
4. Step 4: Simplify right side
   114,939x = 29,483,122,142.25
5. Step 5: Solve for x
   x = 29,483,122,142.25/114,939
6. Step 6: Final answer
   x = 256,511.04