Finding the Third Proportional to 762,128 and 1,609,792

Step by Step Solution

1. Step 1: Write the proportion equation
   762,128 : 1,609,792 = 1,609,792 : x
2. Step 2: Convert to fraction form
   762,128/1,609,792 = 1,609,792/x
3. Step 3: Cross multiply
   762,128x = 1,609,792 × 1,609,792
4. Step 4: Simplify right side
   762,128x = 2,591,430,283,264
5. Step 5: Solve for x
   x = 2,591,430,283,264/762,128
6. Step 6: Final answer
   x = 3,400,255.97