Finding the Third Proportional to 76,176 and 116,460

Step by Step Solution

1. Step 1: Write the proportion equation
   76,176 : 116,460 = 116,460 : x
2. Step 2: Convert to fraction form
   76,176/116,460 = 116,460/x
3. Step 3: Cross multiply
   76,176x = 116,460 × 116,460
4. Step 4: Simplify right side
   76,176x = 13,562,931,600
5. Step 5: Solve for x
   x = 13,562,931,600/76,176
6. Step 6: Final answer
   x = 178,047.31