Finding the Third Proportional to 89,414 and 193,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,414 : 193,347.50 = 193,347.50 : x
2. Step 2: Convert to fraction form
   89,414/193,347.50 = 193,347.50/x
3. Step 3: Cross multiply
   89,414x = 193,347.50 × 193,347.50
4. Step 4: Simplify right side
   89,414x = 37,383,255,756.25
5. Step 5: Solve for x
   x = 37,383,255,756.25/89,414
6. Step 6: Final answer
   x = 418,091.75