Finding the Third Proportional to 654,909 and 978,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   654,909 : 978,319.50 = 978,319.50 : x
2. Step 2: Convert to fraction form
   654,909/978,319.50 = 978,319.50/x
3. Step 3: Cross multiply
   654,909x = 978,319.50 × 978,319.50
4. Step 4: Simplify right side
   654,909x = 957,109,044,080.25
5. Step 5: Solve for x
   x = 957,109,044,080.25/654,909
6. Step 6: Final answer
   x = 1,461,438.22