Finding the Third Proportional to 89,184 and 130,576

Step by Step Solution

1. Step 1: Write the proportion equation
   89,184 : 130,576 = 130,576 : x
2. Step 2: Convert to fraction form
   89,184/130,576 = 130,576/x
3. Step 3: Cross multiply
   89,184x = 130,576 × 130,576
4. Step 4: Simplify right side
   89,184x = 17,050,091,776
5. Step 5: Solve for x
   x = 17,050,091,776/89,184
6. Step 6: Final answer
   x = 191,178.82