Finding the Third Proportional to 41,379 and 89,316

Step by Step Solution

1. Step 1: Write the proportion equation
   41,379 : 89,316 = 89,316 : x
2. Step 2: Convert to fraction form
   41,379/89,316 = 89,316/x
3. Step 3: Cross multiply
   41,379x = 89,316 × 89,316
4. Step 4: Simplify right side
   41,379x = 7,977,347,856
5. Step 5: Solve for x
   x = 7,977,347,856/41,379
6. Step 6: Final answer
   x = 192,787.35