Finding the Third Proportional to 65,909 and 102,140

Step by Step Solution

1. Step 1: Write the proportion equation
   65,909 : 102,140 = 102,140 : x
2. Step 2: Convert to fraction form
   65,909/102,140 = 102,140/x
3. Step 3: Cross multiply
   65,909x = 102,140 × 102,140
4. Step 4: Simplify right side
   65,909x = 10,432,579,600
5. Step 5: Solve for x
   x = 10,432,579,600/65,909
6. Step 6: Final answer
   x = 158,287.63