Finding the Third Proportional to 65,830.50 and 142,029

Step by Step Solution

1. Step 1: Write the proportion equation
   65,830.50 : 142,029 = 142,029 : x
2. Step 2: Convert to fraction form
   65,830.50/142,029 = 142,029/x
3. Step 3: Cross multiply
   65,830.50x = 142,029 × 142,029
4. Step 4: Simplify right side
   65,830.50x = 20,172,236,841
5. Step 5: Solve for x
   x = 20,172,236,841/65,830.50
6. Step 6: Final answer
   x = 306,426.91