Finding the Third Proportional to 65,200 and 101,696

Step by Step Solution

1. Step 1: Write the proportion equation
   65,200 : 101,696 = 101,696 : x
2. Step 2: Convert to fraction form
   65,200/101,696 = 101,696/x
3. Step 3: Cross multiply
   65,200x = 101,696 × 101,696
4. Step 4: Simplify right side
   65,200x = 10,342,076,416
5. Step 5: Solve for x
   x = 10,342,076,416/65,200
6. Step 6: Final answer
   x = 158,620.80