Finding the Third Proportional to 78,088 and 171,224

Step by Step Solution

1. Step 1: Write the proportion equation
   78,088 : 171,224 = 171,224 : x
2. Step 2: Convert to fraction form
   78,088/171,224 = 171,224/x
3. Step 3: Cross multiply
   78,088x = 171,224 × 171,224
4. Step 4: Simplify right side
   78,088x = 29,317,658,176
5. Step 5: Solve for x
   x = 29,317,658,176/78,088
6. Step 6: Final answer
   x = 375,443.83