Finding the Third Proportional to 78,231 and 171,222

Step by Step Solution

1. Step 1: Write the proportion equation
   78,231 : 171,222 = 171,222 : x
2. Step 2: Convert to fraction form
   78,231/171,222 = 171,222/x
3. Step 3: Cross multiply
   78,231x = 171,222 × 171,222
4. Step 4: Simplify right side
   78,231x = 29,316,973,284
5. Step 5: Solve for x
   x = 29,316,973,284/78,231
6. Step 6: Final answer
   x = 374,748.80