Finding the Third Proportional to 65,762 and 143,826

Step by Step Solution

1. Step 1: Write the proportion equation
   65,762 : 143,826 = 143,826 : x
2. Step 2: Convert to fraction form
   65,762/143,826 = 143,826/x
3. Step 3: Cross multiply
   65,762x = 143,826 × 143,826
4. Step 4: Simplify right side
   65,762x = 20,685,918,276
5. Step 5: Solve for x
   x = 20,685,918,276/65,762
6. Step 6: Final answer
   x = 314,557.32