Finding the Third Proportional to 65,924 and 142,408

Step by Step Solution

1. Step 1: Write the proportion equation
   65,924 : 142,408 = 142,408 : x
2. Step 2: Convert to fraction form
   65,924/142,408 = 142,408/x
3. Step 3: Cross multiply
   65,924x = 142,408 × 142,408
4. Step 4: Simplify right side
   65,924x = 20,280,038,464
5. Step 5: Solve for x
   x = 20,280,038,464/65,924
6. Step 6: Final answer
   x = 307,627.55