Finding the Third Proportional to 415,410 and 978,033

Step by Step Solution

1. Step 1: Write the proportion equation
   415,410 : 978,033 = 978,033 : x
2. Step 2: Convert to fraction form
   415,410/978,033 = 978,033/x
3. Step 3: Cross multiply
   415,410x = 978,033 × 978,033
4. Step 4: Simplify right side
   415,410x = 956,548,549,089
5. Step 5: Solve for x
   x = 956,548,549,089/415,410
6. Step 6: Final answer
   x = 2,302,661.34