Finding the Third Proportional to 65,894 and 142,156

Step by Step Solution

1. Step 1: Write the proportion equation
   65,894 : 142,156 = 142,156 : x
2. Step 2: Convert to fraction form
   65,894/142,156 = 142,156/x
3. Step 3: Cross multiply
   65,894x = 142,156 × 142,156
4. Step 4: Simplify right side
   65,894x = 20,208,328,336
5. Step 5: Solve for x
   x = 20,208,328,336/65,894
6. Step 6: Final answer
   x = 306,679.34