Finding the Third Proportional to 123,235 and 252,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,235 : 252,297.50 = 252,297.50 : x
2. Step 2: Convert to fraction form
   123,235/252,297.50 = 252,297.50/x
3. Step 3: Cross multiply
   123,235x = 252,297.50 × 252,297.50
4. Step 4: Simplify right side
   123,235x = 63,654,028,506.25
5. Step 5: Solve for x
   x = 63,654,028,506.25/123,235
6. Step 6: Final answer
   x = 516,525.57