Finding the Third Proportional to 42,763 and 92,105

Step by Step Solution

1. Step 1: Write the proportion equation
   42,763 : 92,105 = 92,105 : x
2. Step 2: Convert to fraction form
   42,763/92,105 = 92,105/x
3. Step 3: Cross multiply
   42,763x = 92,105 × 92,105
4. Step 4: Simplify right side
   42,763x = 8,483,331,025
5. Step 5: Solve for x
   x = 8,483,331,025/42,763
6. Step 6: Final answer
   x = 198,380.17