Finding the Third Proportional to 65,826 and 142,290

Step by Step Solution

1. Step 1: Write the proportion equation
   65,826 : 142,290 = 142,290 : x
2. Step 2: Convert to fraction form
   65,826/142,290 = 142,290/x
3. Step 3: Cross multiply
   65,826x = 142,290 × 142,290
4. Step 4: Simplify right side
   65,826x = 20,246,444,100
5. Step 5: Solve for x
   x = 20,246,444,100/65,826
6. Step 6: Final answer
   x = 307,575.18