Finding the Third Proportional to 88,674 and 194,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,674 : 194,593.50 = 194,593.50 : x
2. Step 2: Convert to fraction form
   88,674/194,593.50 = 194,593.50/x
3. Step 3: Cross multiply
   88,674x = 194,593.50 × 194,593.50
4. Step 4: Simplify right side
   88,674x = 37,866,630,242.25
5. Step 5: Solve for x
   x = 37,866,630,242.25/88,674
6. Step 6: Final answer
   x = 427,031.94