Finding the Third Proportional to 83,045.25 and 194,961.94

Step by Step Solution

1. Step 1: Write the proportion equation
   83,045.25 : 194,961.94 = 194,961.94 : x
2. Step 2: Convert to fraction form
   83,045.25/194,961.94 = 194,961.94/x
3. Step 3: Cross multiply
   83,045.25x = 194,961.94 × 194,961.94
4. Step 4: Simplify right side
   83,045.25x = 38,010,157,073.75
5. Step 5: Solve for x
   x = 38,010,157,073.75/83,045.25
6. Step 6: Final answer
   x = 457,704.17