Finding the Third Proportional to 38,194.88 and 84,165.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,194.88 : 84,165.75 = 84,165.75 : x
2. Step 2: Convert to fraction form
   38,194.88/84,165.75 = 84,165.75/x
3. Step 3: Cross multiply
   38,194.88x = 84,165.75 × 84,165.75
4. Step 4: Simplify right side
   38,194.88x = 7,083,873,473.06
5. Step 5: Solve for x
   x = 7,083,873,473.06/38,194.88
6. Step 6: Final answer
   x = 185,466.60