Finding the Third Proportional to 114,383.50 and 172,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,383.50 : 172,475.50 = 172,475.50 : x
2. Step 2: Convert to fraction form
   114,383.50/172,475.50 = 172,475.50/x
3. Step 3: Cross multiply
   114,383.50x = 172,475.50 × 172,475.50
4. Step 4: Simplify right side
   114,383.50x = 29,747,798,100.25
5. Step 5: Solve for x
   x = 29,747,798,100.25/114,383.50
6. Step 6: Final answer
   x = 260,070.71