Finding the Third Proportional to 820,520 and 1,772,264

Step by Step Solution

1. Step 1: Write the proportion equation
   820,520 : 1,772,264 = 1,772,264 : x
2. Step 2: Convert to fraction form
   820,520/1,772,264 = 1,772,264/x
3. Step 3: Cross multiply
   820,520x = 1,772,264 × 1,772,264
4. Step 4: Simplify right side
   820,520x = 3,140,919,685,696
5. Step 5: Solve for x
   x = 3,140,919,685,696/820,520
6. Step 6: Final answer
   x = 3,827,962.37