Finding the Third Proportional to 90,203.63 and 194,845.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,203.63 : 194,845.50 = 194,845.50 : x
2. Step 2: Convert to fraction form
   90,203.63/194,845.50 = 194,845.50/x
3. Step 3: Cross multiply
   90,203.63x = 194,845.50 × 194,845.50
4. Step 4: Simplify right side
   90,203.63x = 37,964,768,870.25
5. Step 5: Solve for x
   x = 37,964,768,870.25/90,203.63
6. Step 6: Final answer
   x = 420,878.53