Finding the Third Proportional to 769,143 and 1,683,222

Step by Step Solution

1. Step 1: Write the proportion equation
   769,143 : 1,683,222 = 1,683,222 : x
2. Step 2: Convert to fraction form
   769,143/1,683,222 = 1,683,222/x
3. Step 3: Cross multiply
   769,143x = 1,683,222 × 1,683,222
4. Step 4: Simplify right side
   769,143x = 2,833,236,301,284
5. Step 5: Solve for x
   x = 2,833,236,301,284/769,143
6. Step 6: Final answer
   x = 3,683,627.49