Finding the Third Proportional to 93,859.50 and 194,372.25

Step by Step Solution

1. Step 1: Write the proportion equation
   93,859.50 : 194,372.25 = 194,372.25 : x
2. Step 2: Convert to fraction form
   93,859.50/194,372.25 = 194,372.25/x
3. Step 3: Cross multiply
   93,859.50x = 194,372.25 × 194,372.25
4. Step 4: Simplify right side
   93,859.50x = 37,780,571,570.06
5. Step 5: Solve for x
   x = 37,780,571,570.06/93,859.50
6. Step 6: Final answer
   x = 402,522.62