Finding the Third Proportional to 111,672 and 155,196

Step by Step Solution

1. Step 1: Write the proportion equation
   111,672 : 155,196 = 155,196 : x
2. Step 2: Convert to fraction form
   111,672/155,196 = 155,196/x
3. Step 3: Cross multiply
   111,672x = 155,196 × 155,196
4. Step 4: Simplify right side
   111,672x = 24,085,798,416
5. Step 5: Solve for x
   x = 24,085,798,416/111,672
6. Step 6: Final answer
   x = 215,683.42