Finding the Third Proportional to 78,384 and 169,056

Step by Step Solution

1. Step 1: Write the proportion equation
   78,384 : 169,056 = 169,056 : x
2. Step 2: Convert to fraction form
   78,384/169,056 = 169,056/x
3. Step 3: Cross multiply
   78,384x = 169,056 × 169,056
4. Step 4: Simplify right side
   78,384x = 28,579,931,136
5. Step 5: Solve for x
   x = 28,579,931,136/78,384
6. Step 6: Final answer
   x = 364,614.35