Finding the Third Proportional to 89,007 and 194,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,007 : 194,425.50 = 194,425.50 : x
2. Step 2: Convert to fraction form
   89,007/194,425.50 = 194,425.50/x
3. Step 3: Cross multiply
   89,007x = 194,425.50 × 194,425.50
4. Step 4: Simplify right side
   89,007x = 37,801,275,050.25
5. Step 5: Solve for x
   x = 37,801,275,050.25/89,007
6. Step 6: Final answer
   x = 424,700.02