Finding the Third Proportional to 123,477.50 and 252,786

Step by Step Solution

1. Step 1: Write the proportion equation
   123,477.50 : 252,786 = 252,786 : x
2. Step 2: Convert to fraction form
   123,477.50/252,786 = 252,786/x
3. Step 3: Cross multiply
   123,477.50x = 252,786 × 252,786
4. Step 4: Simplify right side
   123,477.50x = 63,900,761,796
5. Step 5: Solve for x
   x = 63,900,761,796/123,477.50
6. Step 6: Final answer
   x = 517,509.36