Finding the Third Proportional to 65,234 and 103,688

Step by Step Solution

1. Step 1: Write the proportion equation
   65,234 : 103,688 = 103,688 : x
2. Step 2: Convert to fraction form
   65,234/103,688 = 103,688/x
3. Step 3: Cross multiply
   65,234x = 103,688 × 103,688
4. Step 4: Simplify right side
   65,234x = 10,751,201,344
5. Step 5: Solve for x
   x = 10,751,201,344/65,234
6. Step 6: Final answer
   x = 164,809.78