Finding the Third Proportional to 89,388 and 195,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,388 : 195,844.50 = 195,844.50 : x
2. Step 2: Convert to fraction form
   89,388/195,844.50 = 195,844.50/x
3. Step 3: Cross multiply
   89,388x = 195,844.50 × 195,844.50
4. Step 4: Simplify right side
   89,388x = 38,355,068,180.25
5. Step 5: Solve for x
   x = 38,355,068,180.25/89,388
6. Step 6: Final answer
   x = 429,085.20