Finding the Third Proportional to 82,440 and 178,056

Step by Step Solution

1. Step 1: Write the proportion equation
   82,440 : 178,056 = 178,056 : x
2. Step 2: Convert to fraction form
   82,440/178,056 = 178,056/x
3. Step 3: Cross multiply
   82,440x = 178,056 × 178,056
4. Step 4: Simplify right side
   82,440x = 31,703,939,136
5. Step 5: Solve for x
   x = 31,703,939,136/82,440
6. Step 6: Final answer
   x = 384,569.86