Finding the Third Proportional to 1,747,643 and 2,361,178

Step by Step Solution

1. Step 1: Write the proportion equation
   1,747,643 : 2,361,178 = 2,361,178 : x
2. Step 2: Convert to fraction form
   1,747,643/2,361,178 = 2,361,178/x
3. Step 3: Cross multiply
   1,747,643x = 2,361,178 × 2,361,178
4. Step 4: Simplify right side
   1,747,643x = 5,575,161,547,684
5. Step 5: Solve for x
   x = 5,575,161,547,684/1,747,643
6. Step 6: Final answer
   x = 3,190,103.21