Finding the Third Proportional to 89,498.25 and 193,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,498.25 : 193,009.50 = 193,009.50 : x
2. Step 2: Convert to fraction form
   89,498.25/193,009.50 = 193,009.50/x
3. Step 3: Cross multiply
   89,498.25x = 193,009.50 × 193,009.50
4. Step 4: Simplify right side
   89,498.25x = 37,252,667,090.25
5. Step 5: Solve for x
   x = 37,252,667,090.25/89,498.25
6. Step 6: Final answer
   x = 416,239.06