Finding the Third Proportional to 66,538 and 142,300

Step by Step Solution

1. Step 1: Write the proportion equation
   66,538 : 142,300 = 142,300 : x
2. Step 2: Convert to fraction form
   66,538/142,300 = 142,300/x
3. Step 3: Cross multiply
   66,538x = 142,300 × 142,300
4. Step 4: Simplify right side
   66,538x = 20,249,290,000
5. Step 5: Solve for x
   x = 20,249,290,000/66,538
6. Step 6: Final answer
   x = 304,326.70