Finding the Third Proportional to 65,196 and 101,690

Step by Step Solution

1. Step 1: Write the proportion equation
   65,196 : 101,690 = 101,690 : x
2. Step 2: Convert to fraction form
   65,196/101,690 = 101,690/x
3. Step 3: Cross multiply
   65,196x = 101,690 × 101,690
4. Step 4: Simplify right side
   65,196x = 10,340,856,100
5. Step 5: Solve for x
   x = 10,340,856,100/65,196
6. Step 6: Final answer
   x = 158,611.82