Finding the Third Proportional to 65,322 and 100,538

Step by Step Solution

1. Step 1: Write the proportion equation
   65,322 : 100,538 = 100,538 : x
2. Step 2: Convert to fraction form
   65,322/100,538 = 100,538/x
3. Step 3: Cross multiply
   65,322x = 100,538 × 100,538
4. Step 4: Simplify right side
   65,322x = 10,107,889,444
5. Step 5: Solve for x
   x = 10,107,889,444/65,322
6. Step 6: Final answer
   x = 154,739.44