Finding the Third Proportional to 102,164 and 153,384

Step by Step Solution

1. Step 1: Write the proportion equation
   102,164 : 153,384 = 153,384 : x
2. Step 2: Convert to fraction form
   102,164/153,384 = 153,384/x
3. Step 3: Cross multiply
   102,164x = 153,384 × 153,384
4. Step 4: Simplify right side
   102,164x = 23,526,651,456
5. Step 5: Solve for x
   x = 23,526,651,456/102,164
6. Step 6: Final answer
   x = 230,283.19