Finding the Third Proportional to 188,955 and 414,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,955 : 414,769.50 = 414,769.50 : x
2. Step 2: Convert to fraction form
   188,955/414,769.50 = 414,769.50/x
3. Step 3: Cross multiply
   188,955x = 414,769.50 × 414,769.50
4. Step 4: Simplify right side
   188,955x = 172,033,738,130.25
5. Step 5: Solve for x
   x = 172,033,738,130.25/188,955
6. Step 6: Final answer
   x = 910,448.19