Finding the Third Proportional to 90,294 and 194,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,294 : 194,461.50 = 194,461.50 : x
2. Step 2: Convert to fraction form
   90,294/194,461.50 = 194,461.50/x
3. Step 3: Cross multiply
   90,294x = 194,461.50 × 194,461.50
4. Step 4: Simplify right side
   90,294x = 37,815,274,982.25
5. Step 5: Solve for x
   x = 37,815,274,982.25/90,294
6. Step 6: Final answer
   x = 418,801.64