Finding the Third Proportional to 101,646 and 153,222

Step by Step Solution

1. Step 1: Write the proportion equation
   101,646 : 153,222 = 153,222 : x
2. Step 2: Convert to fraction form
   101,646/153,222 = 153,222/x
3. Step 3: Cross multiply
   101,646x = 153,222 × 153,222
4. Step 4: Simplify right side
   101,646x = 23,476,981,284
5. Step 5: Solve for x
   x = 23,476,981,284/101,646
6. Step 6: Final answer
   x = 230,968.08