Finding the Third Proportional to 78,302 and 172,156

Step by Step Solution

1. Step 1: Write the proportion equation
   78,302 : 172,156 = 172,156 : x
2. Step 2: Convert to fraction form
   78,302/172,156 = 172,156/x
3. Step 3: Cross multiply
   78,302x = 172,156 × 172,156
4. Step 4: Simplify right side
   78,302x = 29,637,688,336
5. Step 5: Solve for x
   x = 29,637,688,336/78,302
6. Step 6: Final answer
   x = 378,504.87