Finding the Third Proportional to 90,952 and 186,412

Step by Step Solution

1. Step 1: Write the proportion equation
   90,952 : 186,412 = 186,412 : x
2. Step 2: Convert to fraction form
   90,952/186,412 = 186,412/x
3. Step 3: Cross multiply
   90,952x = 186,412 × 186,412
4. Step 4: Simplify right side
   90,952x = 34,749,433,744
5. Step 5: Solve for x
   x = 34,749,433,744/90,952
6. Step 6: Final answer
   x = 382,063.44