Finding the Third Proportional to 90,554 and 196,665.63

Step by Step Solution

1. Step 1: Write the proportion equation
   90,554 : 196,665.63 = 196,665.63 : x
2. Step 2: Convert to fraction form
   90,554/196,665.63 = 196,665.63/x
3. Step 3: Cross multiply
   90,554x = 196,665.63 × 196,665.63
4. Step 4: Simplify right side
   90,554x = 38,677,368,056.64
5. Step 5: Solve for x
   x = 38,677,368,056.64/90,554
6. Step 6: Final answer
   x = 427,119.38