Finding the Third Proportional to 269,492.50 and 586,796

Step by Step Solution

1. Step 1: Write the proportion equation
   269,492.50 : 586,796 = 586,796 : x
2. Step 2: Convert to fraction form
   269,492.50/586,796 = 586,796/x
3. Step 3: Cross multiply
   269,492.50x = 586,796 × 586,796
4. Step 4: Simplify right side
   269,492.50x = 344,329,545,616
5. Step 5: Solve for x
   x = 344,329,545,616/269,492.50
6. Step 6: Final answer
   x = 1,277,696.21