Finding the Third Proportional to 42,578 and 90,344

Step by Step Solution

1. Step 1: Write the proportion equation
   42,578 : 90,344 = 90,344 : x
2. Step 2: Convert to fraction form
   42,578/90,344 = 90,344/x
3. Step 3: Cross multiply
   42,578x = 90,344 × 90,344
4. Step 4: Simplify right side
   42,578x = 8,162,038,336
5. Step 5: Solve for x
   x = 8,162,038,336/42,578
6. Step 6: Final answer
   x = 191,696.14