Finding the Third Proportional to 65,780 and 102,516

Step by Step Solution

1. Step 1: Write the proportion equation
   65,780 : 102,516 = 102,516 : x
2. Step 2: Convert to fraction form
   65,780/102,516 = 102,516/x
3. Step 3: Cross multiply
   65,780x = 102,516 × 102,516
4. Step 4: Simplify right side
   65,780x = 10,509,530,256
5. Step 5: Solve for x
   x = 10,509,530,256/65,780
6. Step 6: Final answer
   x = 159,767.87