Finding the Third Proportional to 90,780 and 191,942.25

Step by Step Solution

1. Step 1: Write the proportion equation
   90,780 : 191,942.25 = 191,942.25 : x
2. Step 2: Convert to fraction form
   90,780/191,942.25 = 191,942.25/x
3. Step 3: Cross multiply
   90,780x = 191,942.25 × 191,942.25
4. Step 4: Simplify right side
   90,780x = 36,841,827,335.06
5. Step 5: Solve for x
   x = 36,841,827,335.06/90,780
6. Step 6: Final answer
   x = 405,836.39