Finding the Third Proportional to 88,196 and 133,089

Step by Step Solution

1. Step 1: Write the proportion equation
   88,196 : 133,089 = 133,089 : x
2. Step 2: Convert to fraction form
   88,196/133,089 = 133,089/x
3. Step 3: Cross multiply
   88,196x = 133,089 × 133,089
4. Step 4: Simplify right side
   88,196x = 17,712,681,921
5. Step 5: Solve for x
   x = 17,712,681,921/88,196
6. Step 6: Final answer
   x = 200,833.17