Finding the Third Proportional to 89,745 and 194,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,745 : 194,347.50 = 194,347.50 : x
2. Step 2: Convert to fraction form
   89,745/194,347.50 = 194,347.50/x
3. Step 3: Cross multiply
   89,745x = 194,347.50 × 194,347.50
4. Step 4: Simplify right side
   89,745x = 37,770,950,756.25
5. Step 5: Solve for x
   x = 37,770,950,756.25/89,745
6. Step 6: Final answer
   x = 420,869.69