Finding the Third Proportional to 78,356 and 172,262

Step by Step Solution

1. Step 1: Write the proportion equation
   78,356 : 172,262 = 172,262 : x
2. Step 2: Convert to fraction form
   78,356/172,262 = 172,262/x
3. Step 3: Cross multiply
   78,356x = 172,262 × 172,262
4. Step 4: Simplify right side
   78,356x = 29,674,196,644
5. Step 5: Solve for x
   x = 29,674,196,644/78,356
6. Step 6: Final answer
   x = 378,709.95