Finding the Third Proportional to 84,585 and 185,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,585 : 185,914.50 = 185,914.50 : x
2. Step 2: Convert to fraction form
   84,585/185,914.50 = 185,914.50/x
3. Step 3: Cross multiply
   84,585x = 185,914.50 × 185,914.50
4. Step 4: Simplify right side
   84,585x = 34,564,201,310.25
5. Step 5: Solve for x
   x = 34,564,201,310.25/84,585
6. Step 6: Final answer
   x = 408,632.75