Finding the Third Proportional to 92,210 and 142,408

Step by Step Solution

1. Step 1: Write the proportion equation
   92,210 : 142,408 = 142,408 : x
2. Step 2: Convert to fraction form
   92,210/142,408 = 142,408/x
3. Step 3: Cross multiply
   92,210x = 142,408 × 142,408
4. Step 4: Simplify right side
   92,210x = 20,280,038,464
5. Step 5: Solve for x
   x = 20,280,038,464/92,210
6. Step 6: Final answer
   x = 219,933.18