Finding the Third Proportional to 846,172 and 1,762,327

Step by Step Solution

1. Step 1: Write the proportion equation
   846,172 : 1,762,327 = 1,762,327 : x
2. Step 2: Convert to fraction form
   846,172/1,762,327 = 1,762,327/x
3. Step 3: Cross multiply
   846,172x = 1,762,327 × 1,762,327
4. Step 4: Simplify right side
   846,172x = 3,105,796,454,929
5. Step 5: Solve for x
   x = 3,105,796,454,929/846,172
6. Step 6: Final answer
   x = 3,670,407.97