Finding the Third Proportional to 78,888 and 172,392

Step by Step Solution

1. Step 1: Write the proportion equation
   78,888 : 172,392 = 172,392 : x
2. Step 2: Convert to fraction form
   78,888/172,392 = 172,392/x
3. Step 3: Cross multiply
   78,888x = 172,392 × 172,392
4. Step 4: Simplify right side
   78,888x = 29,719,001,664
5. Step 5: Solve for x
   x = 29,719,001,664/78,888
6. Step 6: Final answer
   x = 376,723.98