Finding the Third Proportional to 78,900 and 172,368

Step by Step Solution

1. Step 1: Write the proportion equation
   78,900 : 172,368 = 172,368 : x
2. Step 2: Convert to fraction form
   78,900/172,368 = 172,368/x
3. Step 3: Cross multiply
   78,900x = 172,368 × 172,368
4. Step 4: Simplify right side
   78,900x = 29,710,727,424
5. Step 5: Solve for x
   x = 29,710,727,424/78,900
6. Step 6: Final answer
   x = 376,561.82