Finding the Third Proportional to 1,688,400 and 2,414,250

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688,400 : 2,414,250 = 2,414,250 : x
2. Step 2: Convert to fraction form
   1,688,400/2,414,250 = 2,414,250/x
3. Step 3: Cross multiply
   1,688,400x = 2,414,250 × 2,414,250
4. Step 4: Simplify right side
   1,688,400x = 5,828,603,062,500
5. Step 5: Solve for x
   x = 5,828,603,062,500/1,688,400
6. Step 6: Final answer
   x = 3,452,145.86