Finding the Third Proportional to 42,205 and 90,242

Step by Step Solution

1. Step 1: Write the proportion equation
   42,205 : 90,242 = 90,242 : x
2. Step 2: Convert to fraction form
   42,205/90,242 = 90,242/x
3. Step 3: Cross multiply
   42,205x = 90,242 × 90,242
4. Step 4: Simplify right side
   42,205x = 8,143,618,564
5. Step 5: Solve for x
   x = 8,143,618,564/42,205
6. Step 6: Final answer
   x = 192,953.88