Finding the Third Proportional to 65,188 and 103,614

Step by Step Solution

1. Step 1: Write the proportion equation
   65,188 : 103,614 = 103,614 : x
2. Step 2: Convert to fraction form
   65,188/103,614 = 103,614/x
3. Step 3: Cross multiply
   65,188x = 103,614 × 103,614
4. Step 4: Simplify right side
   65,188x = 10,735,860,996
5. Step 5: Solve for x
   x = 10,735,860,996/65,188
6. Step 6: Final answer
   x = 164,690.76