Finding the Third Proportional to 90,046 and 194,058

Step by Step Solution

1. Step 1: Write the proportion equation
   90,046 : 194,058 = 194,058 : x
2. Step 2: Convert to fraction form
   90,046/194,058 = 194,058/x
3. Step 3: Cross multiply
   90,046x = 194,058 × 194,058
4. Step 4: Simplify right side
   90,046x = 37,658,507,364
5. Step 5: Solve for x
   x = 37,658,507,364/90,046
6. Step 6: Final answer
   x = 418,214.11