Finding the Third Proportional to 89,498.63 and 193,005.38

Step by Step Solution

1. Step 1: Write the proportion equation
   89,498.63 : 193,005.38 = 193,005.38 : x
2. Step 2: Convert to fraction form
   89,498.63/193,005.38 = 193,005.38/x
3. Step 3: Cross multiply
   89,498.63x = 193,005.38 × 193,005.38
4. Step 4: Simplify right side
   89,498.63x = 37,251,074,778.89
5. Step 5: Solve for x
   x = 37,251,074,778.89/89,498.63
6. Step 6: Final answer
   x = 416,219.52