Finding the Third Proportional to 78,152 and 171,208

Step by Step Solution

1. Step 1: Write the proportion equation
   78,152 : 171,208 = 171,208 : x
2. Step 2: Convert to fraction form
   78,152/171,208 = 171,208/x
3. Step 3: Cross multiply
   78,152x = 171,208 × 171,208
4. Step 4: Simplify right side
   78,152x = 29,312,179,264
5. Step 5: Solve for x
   x = 29,312,179,264/78,152
6. Step 6: Final answer
   x = 375,066.27