Finding the Third Proportional to 415,406.25 and 978,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,406.25 : 978,025.50 = 978,025.50 : x
2. Step 2: Convert to fraction form
   415,406.25/978,025.50 = 978,025.50/x
3. Step 3: Cross multiply
   415,406.25x = 978,025.50 × 978,025.50
4. Step 4: Simplify right side
   415,406.25x = 956,533,878,650.25
5. Step 5: Solve for x
   x = 956,533,878,650.25/415,406.25
6. Step 6: Final answer
   x = 2,302,646.82