Finding the Third Proportional to 65,189 and 103,615

Step by Step Solution

1. Step 1: Write the proportion equation
   65,189 : 103,615 = 103,615 : x
2. Step 2: Convert to fraction form
   65,189/103,615 = 103,615/x
3. Step 3: Cross multiply
   65,189x = 103,615 × 103,615
4. Step 4: Simplify right side
   65,189x = 10,736,068,225
5. Step 5: Solve for x
   x = 10,736,068,225/65,189
6. Step 6: Final answer
   x = 164,691.41