Finding the Third Proportional to 42,941 and 91,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,941 : 91,778.50 = 91,778.50 : x
2. Step 2: Convert to fraction form
   42,941/91,778.50 = 91,778.50/x
3. Step 3: Cross multiply
   42,941x = 91,778.50 × 91,778.50
4. Step 4: Simplify right side
   42,941x = 8,423,293,062.25
5. Step 5: Solve for x
   x = 8,423,293,062.25/42,941
6. Step 6: Final answer
   x = 196,159.69