Finding the Third Proportional to 89,384.50 and 196,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,384.50 : 196,538.50 = 196,538.50 : x
2. Step 2: Convert to fraction form
   89,384.50/196,538.50 = 196,538.50/x
3. Step 3: Cross multiply
   89,384.50x = 196,538.50 × 196,538.50
4. Step 4: Simplify right side
   89,384.50x = 38,627,381,982.25
5. Step 5: Solve for x
   x = 38,627,381,982.25/89,384.50
6. Step 6: Final answer
   x = 432,148.55