Finding the Third Proportional to 189,346 and 408,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,346 : 408,216.50 = 408,216.50 : x
2. Step 2: Convert to fraction form
   189,346/408,216.50 = 408,216.50/x
3. Step 3: Cross multiply
   189,346x = 408,216.50 × 408,216.50
4. Step 4: Simplify right side
   189,346x = 166,640,710,872.25
5. Step 5: Solve for x
   x = 166,640,710,872.25/189,346
6. Step 6: Final answer
   x = 880,085.72