Finding the Third Proportional to 42,023 and 91,046

Step by Step Solution

1. Step 1: Write the proportion equation
   42,023 : 91,046 = 91,046 : x
2. Step 2: Convert to fraction form
   42,023/91,046 = 91,046/x
3. Step 3: Cross multiply
   42,023x = 91,046 × 91,046
4. Step 4: Simplify right side
   42,023x = 8,289,374,116
5. Step 5: Solve for x
   x = 8,289,374,116/42,023
6. Step 6: Final answer
   x = 197,258.03