Finding the Third Proportional to 114,534 and 171,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,534 : 171,814.50 = 171,814.50 : x
2. Step 2: Convert to fraction form
   114,534/171,814.50 = 171,814.50/x
3. Step 3: Cross multiply
   114,534x = 171,814.50 × 171,814.50
4. Step 4: Simplify right side
   114,534x = 29,520,222,410.25
5. Step 5: Solve for x
   x = 29,520,222,410.25/114,534
6. Step 6: Final answer
   x = 257,742.00