Finding the Third Proportional to 84,870 and 186,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,870 : 186,682.50 = 186,682.50 : x
2. Step 2: Convert to fraction form
   84,870/186,682.50 = 186,682.50/x
3. Step 3: Cross multiply
   84,870x = 186,682.50 × 186,682.50
4. Step 4: Simplify right side
   84,870x = 34,850,355,806.25
5. Step 5: Solve for x
   x = 34,850,355,806.25/84,870
6. Step 6: Final answer
   x = 410,632.21