Finding the Third Proportional to 103,696 and 152,230

Step by Step Solution

1. Step 1: Write the proportion equation
   103,696 : 152,230 = 152,230 : x
2. Step 2: Convert to fraction form
   103,696/152,230 = 152,230/x
3. Step 3: Cross multiply
   103,696x = 152,230 × 152,230
4. Step 4: Simplify right side
   103,696x = 23,173,972,900
5. Step 5: Solve for x
   x = 23,173,972,900/103,696
6. Step 6: Final answer
   x = 223,479.91