Finding the Third Proportional to 85,588 and 133,038

Step by Step Solution

1. Step 1: Write the proportion equation
   85,588 : 133,038 = 133,038 : x
2. Step 2: Convert to fraction form
   85,588/133,038 = 133,038/x
3. Step 3: Cross multiply
   85,588x = 133,038 × 133,038
4. Step 4: Simplify right side
   85,588x = 17,699,109,444
5. Step 5: Solve for x
   x = 17,699,109,444/85,588
6. Step 6: Final answer
   x = 206,794.29