Finding the Third Proportional to 89,725 and 194,312

Step by Step Solution

1. Step 1: Write the proportion equation
   89,725 : 194,312 = 194,312 : x
2. Step 2: Convert to fraction form
   89,725/194,312 = 194,312/x
3. Step 3: Cross multiply
   89,725x = 194,312 × 194,312
4. Step 4: Simplify right side
   89,725x = 37,757,153,344
5. Step 5: Solve for x
   x = 37,757,153,344/89,725
6. Step 6: Final answer
   x = 420,809.73