Finding the Third Proportional to 88,196 and 193,521

Step by Step Solution

1. Step 1: Write the proportion equation
   88,196 : 193,521 = 193,521 : x
2. Step 2: Convert to fraction form
   88,196/193,521 = 193,521/x
3. Step 3: Cross multiply
   88,196x = 193,521 × 193,521
4. Step 4: Simplify right side
   88,196x = 37,450,377,441
5. Step 5: Solve for x
   x = 37,450,377,441/88,196
6. Step 6: Final answer
   x = 424,626.71