Finding the Third Proportional to 83,046 and 194,963.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,046 : 194,963.75 = 194,963.75 : x
2. Step 2: Convert to fraction form
   83,046/194,963.75 = 194,963.75/x
3. Step 3: Cross multiply
   83,046x = 194,963.75 × 194,963.75
4. Step 4: Simplify right side
   83,046x = 38,010,863,814.06
5. Step 5: Solve for x
   x = 38,010,863,814.06/83,046
6. Step 6: Final answer
   x = 457,708.54