Finding the Third Proportional to 65,072 and 140,148

Step by Step Solution

1. Step 1: Write the proportion equation
   65,072 : 140,148 = 140,148 : x
2. Step 2: Convert to fraction form
   65,072/140,148 = 140,148/x
3. Step 3: Cross multiply
   65,072x = 140,148 × 140,148
4. Step 4: Simplify right side
   65,072x = 19,641,461,904
5. Step 5: Solve for x
   x = 19,641,461,904/65,072
6. Step 6: Final answer
   x = 301,841.99