Finding the Third Proportional to 116,724 and 178,002

Step by Step Solution

1. Step 1: Write the proportion equation
   116,724 : 178,002 = 178,002 : x
2. Step 2: Convert to fraction form
   116,724/178,002 = 178,002/x
3. Step 3: Cross multiply
   116,724x = 178,002 × 178,002
4. Step 4: Simplify right side
   116,724x = 31,684,712,004
5. Step 5: Solve for x
   x = 31,684,712,004/116,724
6. Step 6: Final answer
   x = 271,449.85