Finding the Third Proportional to 123,566.50 and 269,786

Step by Step Solution

1. Step 1: Write the proportion equation
   123,566.50 : 269,786 = 269,786 : x
2. Step 2: Convert to fraction form
   123,566.50/269,786 = 269,786/x
3. Step 3: Cross multiply
   123,566.50x = 269,786 × 269,786
4. Step 4: Simplify right side
   123,566.50x = 72,784,485,796
5. Step 5: Solve for x
   x = 72,784,485,796/123,566.50
6. Step 6: Final answer
   x = 589,030.89