Finding the Third Proportional to 90,944 and 186,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,944 : 186,261.50 = 186,261.50 : x
2. Step 2: Convert to fraction form
   90,944/186,261.50 = 186,261.50/x
3. Step 3: Cross multiply
   90,944x = 186,261.50 × 186,261.50
4. Step 4: Simplify right side
   90,944x = 34,693,346,382.25
5. Step 5: Solve for x
   x = 34,693,346,382.25/90,944
6. Step 6: Final answer
   x = 381,480.32