Finding the Third Proportional to 188,276 and 414,460

Step by Step Solution

1. Step 1: Write the proportion equation
   188,276 : 414,460 = 414,460 : x
2. Step 2: Convert to fraction form
   188,276/414,460 = 414,460/x
3. Step 3: Cross multiply
   188,276x = 414,460 × 414,460
4. Step 4: Simplify right side
   188,276x = 171,777,091,600
5. Step 5: Solve for x
   x = 171,777,091,600/188,276
6. Step 6: Final answer
   x = 912,368.50