Finding the Third Proportional to 90,532.69 and 196,830

Step by Step Solution

1. Step 1: Write the proportion equation
   90,532.69 : 196,830 = 196,830 : x
2. Step 2: Convert to fraction form
   90,532.69/196,830 = 196,830/x
3. Step 3: Cross multiply
   90,532.69x = 196,830 × 196,830
4. Step 4: Simplify right side
   90,532.69x = 38,742,048,900
5. Step 5: Solve for x
   x = 38,742,048,900/90,532.69
6. Step 6: Final answer
   x = 427,934.37