Finding the Third Proportional to 65,116 and 142,696

Step by Step Solution

1. Step 1: Write the proportion equation
   65,116 : 142,696 = 142,696 : x
2. Step 2: Convert to fraction form
   65,116/142,696 = 142,696/x
3. Step 3: Cross multiply
   65,116x = 142,696 × 142,696
4. Step 4: Simplify right side
   65,116x = 20,362,148,416
5. Step 5: Solve for x
   x = 20,362,148,416/65,116
6. Step 6: Final answer
   x = 312,705.76