Finding the Third Proportional to 89,378 and 186,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,378 : 186,106.50 = 186,106.50 : x
2. Step 2: Convert to fraction form
   89,378/186,106.50 = 186,106.50/x
3. Step 3: Cross multiply
   89,378x = 186,106.50 × 186,106.50
4. Step 4: Simplify right side
   89,378x = 34,635,629,342.25
5. Step 5: Solve for x
   x = 34,635,629,342.25/89,378
6. Step 6: Final answer
   x = 387,518.51