Finding the Third Proportional to 82,353 and 192,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,353 : 192,562.50 = 192,562.50 : x
2. Step 2: Convert to fraction form
   82,353/192,562.50 = 192,562.50/x
3. Step 3: Cross multiply
   82,353x = 192,562.50 × 192,562.50
4. Step 4: Simplify right side
   82,353x = 37,080,316,406.25
5. Step 5: Solve for x
   x = 37,080,316,406.25/82,353
6. Step 6: Final answer
   x = 450,260.66