Finding the Third Proportional to 89,271 and 194,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,271 : 194,566.50 = 194,566.50 : x
2. Step 2: Convert to fraction form
   89,271/194,566.50 = 194,566.50/x
3. Step 3: Cross multiply
   89,271x = 194,566.50 × 194,566.50
4. Step 4: Simplify right side
   89,271x = 37,856,122,922.25
5. Step 5: Solve for x
   x = 37,856,122,922.25/89,271
6. Step 6: Final answer
   x = 424,058.46