Finding the Third Proportional to 90,572 and 196,692

Step by Step Solution

1. Step 1: Write the proportion equation
   90,572 : 196,692 = 196,692 : x
2. Step 2: Convert to fraction form
   90,572/196,692 = 196,692/x
3. Step 3: Cross multiply
   90,572x = 196,692 × 196,692
4. Step 4: Simplify right side
   90,572x = 38,687,742,864
5. Step 5: Solve for x
   x = 38,687,742,864/90,572
6. Step 6: Final answer
   x = 427,149.04