Finding the Third Proportional to 89,884.69 and 193,784.91

Step by Step Solution

1. Step 1: Write the proportion equation
   89,884.69 : 193,784.91 = 193,784.91 : x
2. Step 2: Convert to fraction form
   89,884.69/193,784.91 = 193,784.91/x
3. Step 3: Cross multiply
   89,884.69x = 193,784.91 × 193,784.91
4. Step 4: Simplify right side
   89,884.69x = 37,552,589,890.32
5. Step 5: Solve for x
   x = 37,552,589,890.32/89,884.69
6. Step 6: Final answer
   x = 417,786.29