Finding the Third Proportional to 78,895 and 170,426

Step by Step Solution

1. Step 1: Write the proportion equation
   78,895 : 170,426 = 170,426 : x
2. Step 2: Convert to fraction form
   78,895/170,426 = 170,426/x
3. Step 3: Cross multiply
   78,895x = 170,426 × 170,426
4. Step 4: Simplify right side
   78,895x = 29,045,021,476
5. Step 5: Solve for x
   x = 29,045,021,476/78,895
6. Step 6: Final answer
   x = 368,147.81