Finding the Third Proportional to 71,184 and 154,056

Step by Step Solution

1. Step 1: Write the proportion equation
   71,184 : 154,056 = 154,056 : x
2. Step 2: Convert to fraction form
   71,184/154,056 = 154,056/x
3. Step 3: Cross multiply
   71,184x = 154,056 × 154,056
4. Step 4: Simplify right side
   71,184x = 23,733,251,136
5. Step 5: Solve for x
   x = 23,733,251,136/71,184
6. Step 6: Final answer
   x = 333,407.10