Finding the Third Proportional to 89,408 and 186,090

Step by Step Solution

1. Step 1: Write the proportion equation
   89,408 : 186,090 = 186,090 : x
2. Step 2: Convert to fraction form
   89,408/186,090 = 186,090/x
3. Step 3: Cross multiply
   89,408x = 186,090 × 186,090
4. Step 4: Simplify right side
   89,408x = 34,629,488,100
5. Step 5: Solve for x
   x = 34,629,488,100/89,408
6. Step 6: Final answer
   x = 387,319.79