Finding the Third Proportional to 77,164 and 116,576

Step by Step Solution

1. Step 1: Write the proportion equation
   77,164 : 116,576 = 116,576 : x
2. Step 2: Convert to fraction form
   77,164/116,576 = 116,576/x
3. Step 3: Cross multiply
   77,164x = 116,576 × 116,576
4. Step 4: Simplify right side
   77,164x = 13,589,963,776
5. Step 5: Solve for x
   x = 13,589,963,776/77,164
6. Step 6: Final answer
   x = 176,117.93