Finding the Third Proportional to 89,978.06 and 193,047.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,978.06 : 193,047.75 = 193,047.75 : x
2. Step 2: Convert to fraction form
   89,978.06/193,047.75 = 193,047.75/x
3. Step 3: Cross multiply
   89,978.06x = 193,047.75 × 193,047.75
4. Step 4: Simplify right side
   89,978.06x = 37,267,433,780.06
5. Step 5: Solve for x
   x = 37,267,433,780.06/89,978.06
6. Step 6: Final answer
   x = 414,183.55