Finding the Third Proportional to 65,352 and 141,766

Step by Step Solution

1. Step 1: Write the proportion equation
   65,352 : 141,766 = 141,766 : x
2. Step 2: Convert to fraction form
   65,352/141,766 = 141,766/x
3. Step 3: Cross multiply
   65,352x = 141,766 × 141,766
4. Step 4: Simplify right side
   65,352x = 20,097,598,756
5. Step 5: Solve for x
   x = 20,097,598,756/65,352
6. Step 6: Final answer
   x = 307,528.44