Finding the Third Proportional to 88,266.50 and 194,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,266.50 : 194,348.50 = 194,348.50 : x
2. Step 2: Convert to fraction form
   88,266.50/194,348.50 = 194,348.50/x
3. Step 3: Cross multiply
   88,266.50x = 194,348.50 × 194,348.50
4. Step 4: Simplify right side
   88,266.50x = 37,771,339,452.25
5. Step 5: Solve for x
   x = 37,771,339,452.25/88,266.50
6. Step 6: Final answer
   x = 427,923.84