Finding the Third Proportional to 65,349 and 141,498

Step by Step Solution

1. Step 1: Write the proportion equation
   65,349 : 141,498 = 141,498 : x
2. Step 2: Convert to fraction form
   65,349/141,498 = 141,498/x
3. Step 3: Cross multiply
   65,349x = 141,498 × 141,498
4. Step 4: Simplify right side
   65,349x = 20,021,684,004
5. Step 5: Solve for x
   x = 20,021,684,004/65,349
6. Step 6: Final answer
   x = 306,380.88