Finding the Third Proportional to 90,581 and 196,745

Step by Step Solution

1. Step 1: Write the proportion equation
   90,581 : 196,745 = 196,745 : x
2. Step 2: Convert to fraction form
   90,581/196,745 = 196,745/x
3. Step 3: Cross multiply
   90,581x = 196,745 × 196,745
4. Step 4: Simplify right side
   90,581x = 38,708,595,025
5. Step 5: Solve for x
   x = 38,708,595,025/90,581
6. Step 6: Final answer
   x = 427,336.80