Finding the Third Proportional to 78,264 and 171,112

Step by Step Solution

1. Step 1: Write the proportion equation
   78,264 : 171,112 = 171,112 : x
2. Step 2: Convert to fraction form
   78,264/171,112 = 171,112/x
3. Step 3: Cross multiply
   78,264x = 171,112 × 171,112
4. Step 4: Simplify right side
   78,264x = 29,279,316,544
5. Step 5: Solve for x
   x = 29,279,316,544/78,264
6. Step 6: Final answer
   x = 374,109.64