Finding the Third Proportional to 89,930.63 and 194,269.88

Step by Step Solution

1. Step 1: Write the proportion equation
   89,930.63 : 194,269.88 = 194,269.88 : x
2. Step 2: Convert to fraction form
   89,930.63/194,269.88 = 194,269.88/x
3. Step 3: Cross multiply
   89,930.63x = 194,269.88 × 194,269.88
4. Step 4: Simplify right side
   89,930.63x = 37,740,784,332.52
5. Step 5: Solve for x
   x = 37,740,784,332.52/89,930.63
6. Step 6: Final answer
   x = 419,665.54