Finding the Third Proportional to 65,188 and 101,678

Step by Step Solution

1. Step 1: Write the proportion equation
   65,188 : 101,678 = 101,678 : x
2. Step 2: Convert to fraction form
   65,188/101,678 = 101,678/x
3. Step 3: Cross multiply
   65,188x = 101,678 × 101,678
4. Step 4: Simplify right side
   65,188x = 10,338,415,684
5. Step 5: Solve for x
   x = 10,338,415,684/65,188
6. Step 6: Final answer
   x = 158,593.85