Finding the Third Proportional to 84,871 and 186,063.38

Step by Step Solution

1. Step 1: Write the proportion equation
   84,871 : 186,063.38 = 186,063.38 : x
2. Step 2: Convert to fraction form
   84,871/186,063.38 = 186,063.38/x
3. Step 3: Cross multiply
   84,871x = 186,063.38 × 186,063.38
4. Step 4: Simplify right side
   84,871x = 34,619,579,516.39
5. Step 5: Solve for x
   x = 34,619,579,516.39/84,871
6. Step 6: Final answer
   x = 407,908.23