Finding the Third Proportional to 116,172 and 178,659

Step by Step Solution

1. Step 1: Write the proportion equation
   116,172 : 178,659 = 178,659 : x
2. Step 2: Convert to fraction form
   116,172/178,659 = 178,659/x
3. Step 3: Cross multiply
   116,172x = 178,659 × 178,659
4. Step 4: Simplify right side
   116,172x = 31,919,038,281
5. Step 5: Solve for x
   x = 31,919,038,281/116,172
6. Step 6: Final answer
   x = 274,756.73