Finding the Third Proportional to 42,464 and 90,880

Step by Step Solution

1. Step 1: Write the proportion equation
   42,464 : 90,880 = 90,880 : x
2. Step 2: Convert to fraction form
   42,464/90,880 = 90,880/x
3. Step 3: Cross multiply
   42,464x = 90,880 × 90,880
4. Step 4: Simplify right side
   42,464x = 8,259,174,400
5. Step 5: Solve for x
   x = 8,259,174,400/42,464
6. Step 6: Final answer
   x = 194,498.27