Finding the Third Proportional to 101,097 and 147,996

Step by Step Solution

1. Step 1: Write the proportion equation
   101,097 : 147,996 = 147,996 : x
2. Step 2: Convert to fraction form
   101,097/147,996 = 147,996/x
3. Step 3: Cross multiply
   101,097x = 147,996 × 147,996
4. Step 4: Simplify right side
   101,097x = 21,902,816,016
5. Step 5: Solve for x
   x = 21,902,816,016/101,097
6. Step 6: Final answer
   x = 216,651.49