Finding the Third Proportional to 89,402 and 186,150

Step by Step Solution

1. Step 1: Write the proportion equation
   89,402 : 186,150 = 186,150 : x
2. Step 2: Convert to fraction form
   89,402/186,150 = 186,150/x
3. Step 3: Cross multiply
   89,402x = 186,150 × 186,150
4. Step 4: Simplify right side
   89,402x = 34,651,822,500
5. Step 5: Solve for x
   x = 34,651,822,500/89,402
6. Step 6: Final answer
   x = 387,595.61