Finding the Third Proportional to 90,801 and 193,954.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,801 : 193,954.50 = 193,954.50 : x
2. Step 2: Convert to fraction form
   90,801/193,954.50 = 193,954.50/x
3. Step 3: Cross multiply
   90,801x = 193,954.50 × 193,954.50
4. Step 4: Simplify right side
   90,801x = 37,618,348,070.25
5. Step 5: Solve for x
   x = 37,618,348,070.25/90,801
6. Step 6: Final answer
   x = 414,294.42