Finding the Third Proportional to 45,942 and 85,323

Step by Step Solution

1. Step 1: Write the proportion equation
   45,942 : 85,323 = 85,323 : x
2. Step 2: Convert to fraction form
   45,942/85,323 = 85,323/x
3. Step 3: Cross multiply
   45,942x = 85,323 × 85,323
4. Step 4: Simplify right side
   45,942x = 7,280,014,329
5. Step 5: Solve for x
   x = 7,280,014,329/45,942
6. Step 6: Final answer
   x = 158,460.98