Finding the Third Proportional to 65,256 and 103,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,256 : 103,714.50 = 103,714.50 : x
2. Step 2: Convert to fraction form
   65,256/103,714.50 = 103,714.50/x
3. Step 3: Cross multiply
   65,256x = 103,714.50 × 103,714.50
4. Step 4: Simplify right side
   65,256x = 10,756,697,510.25
5. Step 5: Solve for x
   x = 10,756,697,510.25/65,256
6. Step 6: Final answer
   x = 164,838.44