Finding the Third Proportional to 784,838 and 1,681,772

Step by Step Solution

1. Step 1: Write the proportion equation
   784,838 : 1,681,772 = 1,681,772 : x
2. Step 2: Convert to fraction form
   784,838/1,681,772 = 1,681,772/x
3. Step 3: Cross multiply
   784,838x = 1,681,772 × 1,681,772
4. Step 4: Simplify right side
   784,838x = 2,828,357,059,984
5. Step 5: Solve for x
   x = 2,828,357,059,984/784,838
6. Step 6: Final answer
   x = 3,603,746.33