Finding the Third Proportional to 78,654 and 172,072

Step by Step Solution

1. Step 1: Write the proportion equation
   78,654 : 172,072 = 172,072 : x
2. Step 2: Convert to fraction form
   78,654/172,072 = 172,072/x
3. Step 3: Cross multiply
   78,654x = 172,072 × 172,072
4. Step 4: Simplify right side
   78,654x = 29,608,773,184
5. Step 5: Solve for x
   x = 29,608,773,184/78,654
6. Step 6: Final answer
   x = 376,443.32