Finding the Third Proportional to 65,160 and 142,788

Step by Step Solution

1. Step 1: Write the proportion equation
   65,160 : 142,788 = 142,788 : x
2. Step 2: Convert to fraction form
   65,160/142,788 = 142,788/x
3. Step 3: Cross multiply
   65,160x = 142,788 × 142,788
4. Step 4: Simplify right side
   65,160x = 20,388,412,944
5. Step 5: Solve for x
   x = 20,388,412,944/65,160
6. Step 6: Final answer
   x = 312,897.68