Finding the Third Proportional to 172,506 and 377,196

Step by Step Solution

1. Step 1: Write the proportion equation
   172,506 : 377,196 = 377,196 : x
2. Step 2: Convert to fraction form
   172,506/377,196 = 377,196/x
3. Step 3: Cross multiply
   172,506x = 377,196 × 377,196
4. Step 4: Simplify right side
   172,506x = 142,276,822,416
5. Step 5: Solve for x
   x = 142,276,822,416/172,506
6. Step 6: Final answer
   x = 824,764.49