Finding the Third Proportional to 65,154 and 142,764

Step by Step Solution

1. Step 1: Write the proportion equation
   65,154 : 142,764 = 142,764 : x
2. Step 2: Convert to fraction form
   65,154/142,764 = 142,764/x
3. Step 3: Cross multiply
   65,154x = 142,764 × 142,764
4. Step 4: Simplify right side
   65,154x = 20,381,559,696
5. Step 5: Solve for x
   x = 20,381,559,696/65,154
6. Step 6: Final answer
   x = 312,821.31