Finding the Third Proportional to 65,114 and 142,160

Step by Step Solution

1. Step 1: Write the proportion equation
   65,114 : 142,160 = 142,160 : x
2. Step 2: Convert to fraction form
   65,114/142,160 = 142,160/x
3. Step 3: Cross multiply
   65,114x = 142,160 × 142,160
4. Step 4: Simplify right side
   65,114x = 20,209,465,600
5. Step 5: Solve for x
   x = 20,209,465,600/65,114
6. Step 6: Final answer
   x = 310,370.51