Finding the Third Proportional to 89,211 and 196,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,211 : 196,165.50 = 196,165.50 : x
2. Step 2: Convert to fraction form
   89,211/196,165.50 = 196,165.50/x
3. Step 3: Cross multiply
   89,211x = 196,165.50 × 196,165.50
4. Step 4: Simplify right side
   89,211x = 38,480,903,390.25
5. Step 5: Solve for x
   x = 38,480,903,390.25/89,211
6. Step 6: Final answer
   x = 431,347.07