Finding the Third Proportional to 65,214 and 103,657

Step by Step Solution

1. Step 1: Write the proportion equation
   65,214 : 103,657 = 103,657 : x
2. Step 2: Convert to fraction form
   65,214/103,657 = 103,657/x
3. Step 3: Cross multiply
   65,214x = 103,657 × 103,657
4. Step 4: Simplify right side
   65,214x = 10,744,773,649
5. Step 5: Solve for x
   x = 10,744,773,649/65,214
6. Step 6: Final answer
   x = 164,761.76