Finding the Third Proportional to 76,601 and 114,442

Step by Step Solution

1. Step 1: Write the proportion equation
   76,601 : 114,442 = 114,442 : x
2. Step 2: Convert to fraction form
   76,601/114,442 = 114,442/x
3. Step 3: Cross multiply
   76,601x = 114,442 × 114,442
4. Step 4: Simplify right side
   76,601x = 13,096,971,364
5. Step 5: Solve for x
   x = 13,096,971,364/76,601
6. Step 6: Final answer
   x = 170,976.51