Finding the Third Proportional to 42,142 and 90,532

Step by Step Solution

1. Step 1: Write the proportion equation
   42,142 : 90,532 = 90,532 : x
2. Step 2: Convert to fraction form
   42,142/90,532 = 90,532/x
3. Step 3: Cross multiply
   42,142x = 90,532 × 90,532
4. Step 4: Simplify right side
   42,142x = 8,196,043,024
5. Step 5: Solve for x
   x = 8,196,043,024/42,142
6. Step 6: Final answer
   x = 194,486.33