Finding the Third Proportional to 42,189.25 and 91,776.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,189.25 : 91,776.25 = 91,776.25 : x
2. Step 2: Convert to fraction form
   42,189.25/91,776.25 = 91,776.25/x
3. Step 3: Cross multiply
   42,189.25x = 91,776.25 × 91,776.25
4. Step 4: Simplify right side
   42,189.25x = 8,422,880,064.06
5. Step 5: Solve for x
   x = 8,422,880,064.06/42,189.25
6. Step 6: Final answer
   x = 199,645.17