Finding the Third Proportional to 376,871 and 820,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   376,871 : 820,172.50 = 820,172.50 : x
2. Step 2: Convert to fraction form
   376,871/820,172.50 = 820,172.50/x
3. Step 3: Cross multiply
   376,871x = 820,172.50 × 820,172.50
4. Step 4: Simplify right side
   376,871x = 672,682,929,756.25
5. Step 5: Solve for x
   x = 672,682,929,756.25/376,871
6. Step 6: Final answer
   x = 1,784,915.61