Finding the Third Proportional to 116,276 and 174,414

Step by Step Solution

1. Step 1: Write the proportion equation
   116,276 : 174,414 = 174,414 : x
2. Step 2: Convert to fraction form
   116,276/174,414 = 174,414/x
3. Step 3: Cross multiply
   116,276x = 174,414 × 174,414
4. Step 4: Simplify right side
   116,276x = 30,420,243,396
5. Step 5: Solve for x
   x = 30,420,243,396/116,276
6. Step 6: Final answer
   x = 261,621