Finding the Third Proportional to 85,274 and 186,076

Step by Step Solution

1. Step 1: Write the proportion equation
   85,274 : 186,076 = 186,076 : x
2. Step 2: Convert to fraction form
   85,274/186,076 = 186,076/x
3. Step 3: Cross multiply
   85,274x = 186,076 × 186,076
4. Step 4: Simplify right side
   85,274x = 34,624,277,776
5. Step 5: Solve for x
   x = 34,624,277,776/85,274
6. Step 6: Final answer
   x = 406,035.58