Finding the Third Proportional to 65,106 and 142,677

Step by Step Solution

1. Step 1: Write the proportion equation
   65,106 : 142,677 = 142,677 : x
2. Step 2: Convert to fraction form
   65,106/142,677 = 142,677/x
3. Step 3: Cross multiply
   65,106x = 142,677 × 142,677
4. Step 4: Simplify right side
   65,106x = 20,356,726,329
5. Step 5: Solve for x
   x = 20,356,726,329/65,106
6. Step 6: Final answer
   x = 312,670.51