Finding the Third Proportional to 69,658 and 101,504

Step by Step Solution

1. Step 1: Write the proportion equation
   69,658 : 101,504 = 101,504 : x
2. Step 2: Convert to fraction form
   69,658/101,504 = 101,504/x
3. Step 3: Cross multiply
   69,658x = 101,504 × 101,504
4. Step 4: Simplify right side
   69,658x = 10,303,062,016
5. Step 5: Solve for x
   x = 10,303,062,016/69,658
6. Step 6: Final answer
   x = 147,909.24