Finding the Third Proportional to 42,394 and 90,584

Step by Step Solution

1. Step 1: Write the proportion equation
   42,394 : 90,584 = 90,584 : x
2. Step 2: Convert to fraction form
   42,394/90,584 = 90,584/x
3. Step 3: Cross multiply
   42,394x = 90,584 × 90,584
4. Step 4: Simplify right side
   42,394x = 8,205,461,056
5. Step 5: Solve for x
   x = 8,205,461,056/42,394
6. Step 6: Final answer
   x = 193,552.41