Finding the Third Proportional to 768,128 and 1,683,194

Step by Step Solution

1. Step 1: Write the proportion equation
   768,128 : 1,683,194 = 1,683,194 : x
2. Step 2: Convert to fraction form
   768,128/1,683,194 = 1,683,194/x
3. Step 3: Cross multiply
   768,128x = 1,683,194 × 1,683,194
4. Step 4: Simplify right side
   768,128x = 2,833,142,041,636
5. Step 5: Solve for x
   x = 2,833,142,041,636/768,128
6. Step 6: Final answer
   x = 3,688,372.30