Finding the Third Proportional to 65,148 and 142,765

Step by Step Solution

1. Step 1: Write the proportion equation
   65,148 : 142,765 = 142,765 : x
2. Step 2: Convert to fraction form
   65,148/142,765 = 142,765/x
3. Step 3: Cross multiply
   65,148x = 142,765 × 142,765
4. Step 4: Simplify right side
   65,148x = 20,381,845,225
5. Step 5: Solve for x
   x = 20,381,845,225/65,148
6. Step 6: Final answer
   x = 312,854.50