Finding the Third Proportional to 456,682.50 and 980,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456,682.50 : 980,698.50 = 980,698.50 : x
2. Step 2: Convert to fraction form
   456,682.50/980,698.50 = 980,698.50/x
3. Step 3: Cross multiply
   456,682.50x = 980,698.50 × 980,698.50
4. Step 4: Simplify right side
   456,682.50x = 961,769,547,902.25
5. Step 5: Solve for x
   x = 961,769,547,902.25/456,682.50
6. Step 6: Final answer
   x = 2,105,991.69