Finding the Third Proportional to 118,098 and 196,830

Step by Step Solution

1. Step 1: Write the proportion equation
   118,098 : 196,830 = 196,830 : x
2. Step 2: Convert to fraction form
   118,098/196,830 = 196,830/x
3. Step 3: Cross multiply
   118,098x = 196,830 × 196,830
4. Step 4: Simplify right side
   118,098x = 38,742,048,900
5. Step 5: Solve for x
   x = 38,742,048,900/118,098
6. Step 6: Final answer
   x = 328,050