Finding the Third Proportional to 135,160 and 194,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,160 : 194,694.50 = 194,694.50 : x
2. Step 2: Convert to fraction form
   135,160/194,694.50 = 194,694.50/x
3. Step 3: Cross multiply
   135,160x = 194,694.50 × 194,694.50
4. Step 4: Simplify right side
   135,160x = 37,905,948,330.25
5. Step 5: Solve for x
   x = 37,905,948,330.25/135,160
6. Step 6: Final answer
   x = 280,452.41