Finding the Third Proportional to 89,133 and 195,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,133 : 195,763.50 = 195,763.50 : x
2. Step 2: Convert to fraction form
   89,133/195,763.50 = 195,763.50/x
3. Step 3: Cross multiply
   89,133x = 195,763.50 × 195,763.50
4. Step 4: Simplify right side
   89,133x = 38,323,347,932.25
5. Step 5: Solve for x
   x = 38,323,347,932.25/89,133
6. Step 6: Final answer
   x = 429,956.90