Finding the Third Proportional to 78,820 and 171,464

Step by Step Solution

1. Step 1: Write the proportion equation
   78,820 : 171,464 = 171,464 : x
2. Step 2: Convert to fraction form
   78,820/171,464 = 171,464/x
3. Step 3: Cross multiply
   78,820x = 171,464 × 171,464
4. Step 4: Simplify right side
   78,820x = 29,399,903,296
5. Step 5: Solve for x
   x = 29,399,903,296/78,820
6. Step 6: Final answer
   x = 373,000.55