Finding the Third Proportional to 65,936 and 142,432

Step by Step Solution

1. Step 1: Write the proportion equation
   65,936 : 142,432 = 142,432 : x
2. Step 2: Convert to fraction form
   65,936/142,432 = 142,432/x
3. Step 3: Cross multiply
   65,936x = 142,432 × 142,432
4. Step 4: Simplify right side
   65,936x = 20,286,874,624
5. Step 5: Solve for x
   x = 20,286,874,624/65,936
6. Step 6: Final answer
   x = 307,675.24