Finding the Third Proportional to 89,376.75 and 186,104.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,376.75 : 186,104.25 = 186,104.25 : x
2. Step 2: Convert to fraction form
   89,376.75/186,104.25 = 186,104.25/x
3. Step 3: Cross multiply
   89,376.75x = 186,104.25 × 186,104.25
4. Step 4: Simplify right side
   89,376.75x = 34,634,791,868.06
5. Step 5: Solve for x
   x = 34,634,791,868.06/89,376.75
6. Step 6: Final answer
   x = 387,514.56