Finding the Third Proportional to 65,086 and 142,106

Step by Step Solution

1. Step 1: Write the proportion equation
   65,086 : 142,106 = 142,106 : x
2. Step 2: Convert to fraction form
   65,086/142,106 = 142,106/x
3. Step 3: Cross multiply
   65,086x = 142,106 × 142,106
4. Step 4: Simplify right side
   65,086x = 20,194,115,236
5. Step 5: Solve for x
   x = 20,194,115,236/65,086
6. Step 6: Final answer
   x = 310,268.19