Finding the Third Proportional to 93,068 and 194,002

Step by Step Solution

1. Step 1: Write the proportion equation
   93,068 : 194,002 = 194,002 : x
2. Step 2: Convert to fraction form
   93,068/194,002 = 194,002/x
3. Step 3: Cross multiply
   93,068x = 194,002 × 194,002
4. Step 4: Simplify right side
   93,068x = 37,636,776,004
5. Step 5: Solve for x
   x = 37,636,776,004/93,068
6. Step 6: Final answer
   x = 404,400.83