Finding the Third Proportional to 65,232 and 103,684

Step by Step Solution

1. Step 1: Write the proportion equation
   65,232 : 103,684 = 103,684 : x
2. Step 2: Convert to fraction form
   65,232/103,684 = 103,684/x
3. Step 3: Cross multiply
   65,232x = 103,684 × 103,684
4. Step 4: Simplify right side
   65,232x = 10,750,371,856
5. Step 5: Solve for x
   x = 10,750,371,856/65,232
6. Step 6: Final answer
   x = 164,802.12