Finding the Third Proportional to 123,611.25 and 262,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,611.25 : 262,396.50 = 262,396.50 : x
2. Step 2: Convert to fraction form
   123,611.25/262,396.50 = 262,396.50/x
3. Step 3: Cross multiply
   123,611.25x = 262,396.50 × 262,396.50
4. Step 4: Simplify right side
   123,611.25x = 68,851,923,212.25
5. Step 5: Solve for x
   x = 68,851,923,212.25/123,611.25
6. Step 6: Final answer
   x = 557,003.70