Finding the Third Proportional to 42,969 and 94,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,969 : 94,198.50 = 94,198.50 : x
2. Step 2: Convert to fraction form
   42,969/94,198.50 = 94,198.50/x
3. Step 3: Cross multiply
   42,969x = 94,198.50 × 94,198.50
4. Step 4: Simplify right side
   42,969x = 8,873,357,402.25
5. Step 5: Solve for x
   x = 8,873,357,402.25/42,969
6. Step 6: Final answer
   x = 206,506.03