Finding the Third Proportional to 116,952 and 178,320

Step by Step Solution

1. Step 1: Write the proportion equation
   116,952 : 178,320 = 178,320 : x
2. Step 2: Convert to fraction form
   116,952/178,320 = 178,320/x
3. Step 3: Cross multiply
   116,952x = 178,320 × 178,320
4. Step 4: Simplify right side
   116,952x = 31,798,022,400
5. Step 5: Solve for x
   x = 31,798,022,400/116,952
6. Step 6: Final answer
   x = 271,889.51