Finding the Third Proportional to 89,410 and 186,094

Step by Step Solution

1. Step 1: Write the proportion equation
   89,410 : 186,094 = 186,094 : x
2. Step 2: Convert to fraction form
   89,410/186,094 = 186,094/x
3. Step 3: Cross multiply
   89,410x = 186,094 × 186,094
4. Step 4: Simplify right side
   89,410x = 34,630,976,836
5. Step 5: Solve for x
   x = 34,630,976,836/89,410
6. Step 6: Final answer
   x = 387,327.78