Finding the Third Proportional to 171,713.25 and 262,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,713.25 : 262,696.50 = 262,696.50 : x
2. Step 2: Convert to fraction form
   171,713.25/262,696.50 = 262,696.50/x
3. Step 3: Cross multiply
   171,713.25x = 262,696.50 × 262,696.50
4. Step 4: Simplify right side
   171,713.25x = 69,009,451,112.25
5. Step 5: Solve for x
   x = 69,009,451,112.25/171,713.25
6. Step 6: Final answer
   x = 401,887.75