Finding the Third Proportional to 473,144 and 680,116

Step by Step Solution

1. Step 1: Write the proportion equation
   473,144 : 680,116 = 680,116 : x
2. Step 2: Convert to fraction form
   473,144/680,116 = 680,116/x
3. Step 3: Cross multiply
   473,144x = 680,116 × 680,116
4. Step 4: Simplify right side
   473,144x = 462,557,773,456
5. Step 5: Solve for x
   x = 462,557,773,456/473,144
6. Step 6: Final answer
   x = 977,625.78