Finding the Third Proportional to 48,166 and 116,034

Step by Step Solution

1. Step 1: Write the proportion equation
   48,166 : 116,034 = 116,034 : x
2. Step 2: Convert to fraction form
   48,166/116,034 = 116,034/x
3. Step 3: Cross multiply
   48,166x = 116,034 × 116,034
4. Step 4: Simplify right side
   48,166x = 13,463,889,156
5. Step 5: Solve for x
   x = 13,463,889,156/48,166
6. Step 6: Final answer
   x = 279,530.98