Finding the Third Proportional to 188,954 and 414,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,954 : 414,767.50 = 414,767.50 : x
2. Step 2: Convert to fraction form
   188,954/414,767.50 = 414,767.50/x
3. Step 3: Cross multiply
   188,954x = 414,767.50 × 414,767.50
4. Step 4: Simplify right side
   188,954x = 172,032,079,056.25
5. Step 5: Solve for x
   x = 172,032,079,056.25/188,954
6. Step 6: Final answer
   x = 910,444.23