Finding the Third Proportional to 82,923 and 194,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,923 : 194,929.50 = 194,929.50 : x
2. Step 2: Convert to fraction form
   82,923/194,929.50 = 194,929.50/x
3. Step 3: Cross multiply
   82,923x = 194,929.50 × 194,929.50
4. Step 4: Simplify right side
   82,923x = 37,997,509,970.25
5. Step 5: Solve for x
   x = 37,997,509,970.25/82,923
6. Step 6: Final answer
   x = 458,226.43