Finding the Third Proportional to 80,253 and 189,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,253 : 189,788.50 = 189,788.50 : x
2. Step 2: Convert to fraction form
   80,253/189,788.50 = 189,788.50/x
3. Step 3: Cross multiply
   80,253x = 189,788.50 × 189,788.50
4. Step 4: Simplify right side
   80,253x = 36,019,674,732.25
5. Step 5: Solve for x
   x = 36,019,674,732.25/80,253
6. Step 6: Final answer
   x = 448,826.52