Finding the Third Proportional to 89,256.94 and 194,813.86

Step by Step Solution

1. Step 1: Write the proportion equation
   89,256.94 : 194,813.86 = 194,813.86 : x
2. Step 2: Convert to fraction form
   89,256.94/194,813.86 = 194,813.86/x
3. Step 3: Cross multiply
   89,256.94x = 194,813.86 × 194,813.86
4. Step 4: Simplify right side
   89,256.94x = 37,952,439,804.58
5. Step 5: Solve for x
   x = 37,952,439,804.58/89,256.94
6. Step 6: Final answer
   x = 425,204.37