Finding the Third Proportional to 65,816 and 142,139

Step by Step Solution

1. Step 1: Write the proportion equation
   65,816 : 142,139 = 142,139 : x
2. Step 2: Convert to fraction form
   65,816/142,139 = 142,139/x
3. Step 3: Cross multiply
   65,816x = 142,139 × 142,139
4. Step 4: Simplify right side
   65,816x = 20,203,495,321
5. Step 5: Solve for x
   x = 20,203,495,321/65,816
6. Step 6: Final answer
   x = 306,969.36