Finding the Third Proportional to 42,466 and 90,884

Step by Step Solution

1. Step 1: Write the proportion equation
   42,466 : 90,884 = 90,884 : x
2. Step 2: Convert to fraction form
   42,466/90,884 = 90,884/x
3. Step 3: Cross multiply
   42,466x = 90,884 × 90,884
4. Step 4: Simplify right side
   42,466x = 8,259,901,456
5. Step 5: Solve for x
   x = 8,259,901,456/42,466
6. Step 6: Final answer
   x = 194,506.23