Finding the Third Proportional to 90,026 and 194,009

Step by Step Solution

1. Step 1: Write the proportion equation
   90,026 : 194,009 = 194,009 : x
2. Step 2: Convert to fraction form
   90,026/194,009 = 194,009/x
3. Step 3: Cross multiply
   90,026x = 194,009 × 194,009
4. Step 4: Simplify right side
   90,026x = 37,639,492,081
5. Step 5: Solve for x
   x = 37,639,492,081/90,026
6. Step 6: Final answer
   x = 418,095.80