Finding the Third Proportional to 820,140 and 1,762,904

Step by Step Solution

1. Step 1: Write the proportion equation
   820,140 : 1,762,904 = 1,762,904 : x
2. Step 2: Convert to fraction form
   820,140/1,762,904 = 1,762,904/x
3. Step 3: Cross multiply
   820,140x = 1,762,904 × 1,762,904
4. Step 4: Simplify right side
   820,140x = 3,107,830,513,216
5. Step 5: Solve for x
   x = 3,107,830,513,216/820,140
6. Step 6: Final answer
   x = 3,789,390.24