Finding the Third Proportional to 123,583.50 and 269,820

Step by Step Solution

1. Step 1: Write the proportion equation
   123,583.50 : 269,820 = 269,820 : x
2. Step 2: Convert to fraction form
   123,583.50/269,820 = 269,820/x
3. Step 3: Cross multiply
   123,583.50x = 269,820 × 269,820
4. Step 4: Simplify right side
   123,583.50x = 72,802,832,400
5. Step 5: Solve for x
   x = 72,802,832,400/123,583.50
6. Step 6: Final answer
   x = 589,098.32