Finding the Third Proportional to 42,454.13 and 89,965.69

Step by Step Solution

1. Step 1: Write the proportion equation
   42,454.13 : 89,965.69 = 89,965.69 : x
2. Step 2: Convert to fraction form
   42,454.13/89,965.69 = 89,965.69/x
3. Step 3: Cross multiply
   42,454.13x = 89,965.69 × 89,965.69
4. Step 4: Simplify right side
   42,454.13x = 8,093,824,927.35
5. Step 5: Solve for x
   x = 8,093,824,927.35/42,454.13
6. Step 6: Final answer
   x = 190,648.73