Finding the Third Proportional to 65,261 and 142,506

Step by Step Solution

1. Step 1: Write the proportion equation
   65,261 : 142,506 = 142,506 : x
2. Step 2: Convert to fraction form
   65,261/142,506 = 142,506/x
3. Step 3: Cross multiply
   65,261x = 142,506 × 142,506
4. Step 4: Simplify right side
   65,261x = 20,307,960,036
5. Step 5: Solve for x
   x = 20,307,960,036/65,261
6. Step 6: Final answer
   x = 311,180.64