Finding the Third Proportional to 69,757 and 148,504

Step by Step Solution

1. Step 1: Write the proportion equation
   69,757 : 148,504 = 148,504 : x
2. Step 2: Convert to fraction form
   69,757/148,504 = 148,504/x
3. Step 3: Cross multiply
   69,757x = 148,504 × 148,504
4. Step 4: Simplify right side
   69,757x = 22,053,438,016
5. Step 5: Solve for x
   x = 22,053,438,016/69,757
6. Step 6: Final answer
   x = 316,146.59