Finding the Third Proportional to 171,924 and 262,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,924 : 262,825.50 = 262,825.50 : x
2. Step 2: Convert to fraction form
   171,924/262,825.50 = 262,825.50/x
3. Step 3: Cross multiply
   171,924x = 262,825.50 × 262,825.50
4. Step 4: Simplify right side
   171,924x = 69,077,243,450.25
5. Step 5: Solve for x
   x = 69,077,243,450.25/171,924
6. Step 6: Final answer
   x = 401,789.42