Finding the Third Proportional to 114,914 and 171,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,914 : 171,679.50 = 171,679.50 : x
2. Step 2: Convert to fraction form
   114,914/171,679.50 = 171,679.50/x
3. Step 3: Cross multiply
   114,914x = 171,679.50 × 171,679.50
4. Step 4: Simplify right side
   114,914x = 29,473,850,720.25
5. Step 5: Solve for x
   x = 29,473,850,720.25/114,914
6. Step 6: Final answer
   x = 256,486.16