Finding the Third Proportional to 63,099 and 137,952

Step by Step Solution

1. Step 1: Write the proportion equation
   63,099 : 137,952 = 137,952 : x
2. Step 2: Convert to fraction form
   63,099/137,952 = 137,952/x
3. Step 3: Cross multiply
   63,099x = 137,952 × 137,952
4. Step 4: Simplify right side
   63,099x = 19,030,754,304
5. Step 5: Solve for x
   x = 19,030,754,304/63,099
6. Step 6: Final answer
   x = 301,601.52