Finding the Third Proportional to 87,834 and 188,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,834 : 188,992.50 = 188,992.50 : x
2. Step 2: Convert to fraction form
   87,834/188,992.50 = 188,992.50/x
3. Step 3: Cross multiply
   87,834x = 188,992.50 × 188,992.50
4. Step 4: Simplify right side
   87,834x = 35,718,165,056.25
5. Step 5: Solve for x
   x = 35,718,165,056.25/87,834
6. Step 6: Final answer
   x = 406,655.34