Finding the Third Proportional to 65,218 and 103,663

Step by Step Solution

1. Step 1: Write the proportion equation
   65,218 : 103,663 = 103,663 : x
2. Step 2: Convert to fraction form
   65,218/103,663 = 103,663/x
3. Step 3: Cross multiply
   65,218x = 103,663 × 103,663
4. Step 4: Simplify right side
   65,218x = 10,746,017,569
5. Step 5: Solve for x
   x = 10,746,017,569/65,218
6. Step 6: Final answer
   x = 164,770.73