Finding the Third Proportional to 65,808 and 101,788

Step by Step Solution

1. Step 1: Write the proportion equation
   65,808 : 101,788 = 101,788 : x
2. Step 2: Convert to fraction form
   65,808/101,788 = 101,788/x
3. Step 3: Cross multiply
   65,808x = 101,788 × 101,788
4. Step 4: Simplify right side
   65,808x = 10,360,796,944
5. Step 5: Solve for x
   x = 10,360,796,944/65,808
6. Step 6: Final answer
   x = 157,439.78