Finding the Third Proportional to 65,346 and 140,412

Step by Step Solution

1. Step 1: Write the proportion equation
   65,346 : 140,412 = 140,412 : x
2. Step 2: Convert to fraction form
   65,346/140,412 = 140,412/x
3. Step 3: Cross multiply
   65,346x = 140,412 × 140,412
4. Step 4: Simplify right side
   65,346x = 19,715,529,744
5. Step 5: Solve for x
   x = 19,715,529,744/65,346
6. Step 6: Final answer
   x = 301,709.82