Finding the Third Proportional to 102,236 and 155,196

Step by Step Solution

1. Step 1: Write the proportion equation
   102,236 : 155,196 = 155,196 : x
2. Step 2: Convert to fraction form
   102,236/155,196 = 155,196/x
3. Step 3: Cross multiply
   102,236x = 155,196 × 155,196
4. Step 4: Simplify right side
   102,236x = 24,085,798,416
5. Step 5: Solve for x
   x = 24,085,798,416/102,236
6. Step 6: Final answer
   x = 235,590.19