Finding the Third Proportional to 90,009 and 194,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,009 : 194,458.50 = 194,458.50 : x
2. Step 2: Convert to fraction form
   90,009/194,458.50 = 194,458.50/x
3. Step 3: Cross multiply
   90,009x = 194,458.50 × 194,458.50
4. Step 4: Simplify right side
   90,009x = 37,814,108,222.25
5. Step 5: Solve for x
   x = 37,814,108,222.25/90,009
6. Step 6: Final answer
   x = 420,114.75