Finding the Third Proportional to 82,915.50 and 194,896

Step by Step Solution

1. Step 1: Write the proportion equation
   82,915.50 : 194,896 = 194,896 : x
2. Step 2: Convert to fraction form
   82,915.50/194,896 = 194,896/x
3. Step 3: Cross multiply
   82,915.50x = 194,896 × 194,896
4. Step 4: Simplify right side
   82,915.50x = 37,984,450,816
5. Step 5: Solve for x
   x = 37,984,450,816/82,915.50
6. Step 6: Final answer
   x = 458,110.38