Finding the Third Proportional to 278,113.50 and 586,981.69

Step by Step Solution

1. Step 1: Write the proportion equation
   278,113.50 : 586,981.69 = 586,981.69 : x
2. Step 2: Convert to fraction form
   278,113.50/586,981.69 = 586,981.69/x
3. Step 3: Cross multiply
   278,113.50x = 586,981.69 × 586,981.69
4. Step 4: Simplify right side
   278,113.50x = 344,547,501,460.35
5. Step 5: Solve for x
   x = 344,547,501,460.35/278,113.50
6. Step 6: Final answer
   x = 1,238,873.70