Finding the Third Proportional to 90,948 and 186,402

Step by Step Solution

1. Step 1: Write the proportion equation
   90,948 : 186,402 = 186,402 : x
2. Step 2: Convert to fraction form
   90,948/186,402 = 186,402/x
3. Step 3: Cross multiply
   90,948x = 186,402 × 186,402
4. Step 4: Simplify right side
   90,948x = 34,745,705,604
5. Step 5: Solve for x
   x = 34,745,705,604/90,948
6. Step 6: Final answer
   x = 382,039.25