Finding the Third Proportional to 769,772 and 1,688,260

Step by Step Solution

1. Step 1: Write the proportion equation
   769,772 : 1,688,260 = 1,688,260 : x
2. Step 2: Convert to fraction form
   769,772/1,688,260 = 1,688,260/x
3. Step 3: Cross multiply
   769,772x = 1,688,260 × 1,688,260
4. Step 4: Simplify right side
   769,772x = 2,850,221,827,600
5. Step 5: Solve for x
   x = 2,850,221,827,600/769,772
6. Step 6: Final answer
   x = 3,702,683.17