Finding the Third Proportional to 65,192 and 101,684

Step by Step Solution

1. Step 1: Write the proportion equation
   65,192 : 101,684 = 101,684 : x
2. Step 2: Convert to fraction form
   65,192/101,684 = 101,684/x
3. Step 3: Cross multiply
   65,192x = 101,684 × 101,684
4. Step 4: Simplify right side
   65,192x = 10,339,635,856
5. Step 5: Solve for x
   x = 10,339,635,856/65,192
6. Step 6: Final answer
   x = 158,602.83