Finding the Third Proportional to 61,803 and 142,830

Step by Step Solution

1. Step 1: Write the proportion equation
   61,803 : 142,830 = 142,830 : x
2. Step 2: Convert to fraction form
   61,803/142,830 = 142,830/x
3. Step 3: Cross multiply
   61,803x = 142,830 × 142,830
4. Step 4: Simplify right side
   61,803x = 20,400,408,900
5. Step 5: Solve for x
   x = 20,400,408,900/61,803
6. Step 6: Final answer
   x = 330,087.68