Finding the Third Proportional to 65,788 and 142,664

Step by Step Solution

1. Step 1: Write the proportion equation
   65,788 : 142,664 = 142,664 : x
2. Step 2: Convert to fraction form
   65,788/142,664 = 142,664/x
3. Step 3: Cross multiply
   65,788x = 142,664 × 142,664
4. Step 4: Simplify right side
   65,788x = 20,353,016,896
5. Step 5: Solve for x
   x = 20,353,016,896/65,788
6. Step 6: Final answer
   x = 309,372.79