Finding the Third Proportional to 103,684 and 152,212

Step by Step Solution

1. Step 1: Write the proportion equation
   103,684 : 152,212 = 152,212 : x
2. Step 2: Convert to fraction form
   103,684/152,212 = 152,212/x
3. Step 3: Cross multiply
   103,684x = 152,212 × 152,212
4. Step 4: Simplify right side
   103,684x = 23,168,492,944
5. Step 5: Solve for x
   x = 23,168,492,944/103,684
6. Step 6: Final answer
   x = 223,452.92