Finding the Third Proportional to 654,835 and 978,219

Step by Step Solution

1. Step 1: Write the proportion equation
   654,835 : 978,219 = 978,219 : x
2. Step 2: Convert to fraction form
   654,835/978,219 = 978,219/x
3. Step 3: Cross multiply
   654,835x = 978,219 × 978,219
4. Step 4: Simplify right side
   654,835x = 956,912,411,961
5. Step 5: Solve for x
   x = 956,912,411,961/654,835
6. Step 6: Final answer
   x = 1,461,303.09