Finding the Third Proportional to 42,564 and 90,920

Step by Step Solution

1. Step 1: Write the proportion equation
   42,564 : 90,920 = 90,920 : x
2. Step 2: Convert to fraction form
   42,564/90,920 = 90,920/x
3. Step 3: Cross multiply
   42,564x = 90,920 × 90,920
4. Step 4: Simplify right side
   42,564x = 8,266,446,400
5. Step 5: Solve for x
   x = 8,266,446,400/42,564
6. Step 6: Final answer
   x = 194,212.16