Finding the Third Proportional to 820,164 and 1,766,056

Step by Step Solution

1. Step 1: Write the proportion equation
   820,164 : 1,766,056 = 1,766,056 : x
2. Step 2: Convert to fraction form
   820,164/1,766,056 = 1,766,056/x
3. Step 3: Cross multiply
   820,164x = 1,766,056 × 1,766,056
4. Step 4: Simplify right side
   820,164x = 3,118,953,795,136
5. Step 5: Solve for x
   x = 3,118,953,795,136/820,164
6. Step 6: Final answer
   x = 3,802,841.62