Finding the Third Proportional to 189,394 and 408,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,394 : 408,832.50 = 408,832.50 : x
2. Step 2: Convert to fraction form
   189,394/408,832.50 = 408,832.50/x
3. Step 3: Cross multiply
   189,394x = 408,832.50 × 408,832.50
4. Step 4: Simplify right side
   189,394x = 167,144,013,056.25
5. Step 5: Solve for x
   x = 167,144,013,056.25/189,394
6. Step 6: Final answer
   x = 882,520.11