Finding the Third Proportional to 78,064 and 171,301

Step by Step Solution

1. Step 1: Write the proportion equation
   78,064 : 171,301 = 171,301 : x
2. Step 2: Convert to fraction form
   78,064/171,301 = 171,301/x
3. Step 3: Cross multiply
   78,064x = 171,301 × 171,301
4. Step 4: Simplify right side
   78,064x = 29,344,032,601
5. Step 5: Solve for x
   x = 29,344,032,601/78,064
6. Step 6: Final answer
   x = 375,897.12