Finding the Third Proportional to 175,208 and 380,008

Step by Step Solution

1. Step 1: Write the proportion equation
   175,208 : 380,008 = 380,008 : x
2. Step 2: Convert to fraction form
   175,208/380,008 = 380,008/x
3. Step 3: Cross multiply
   175,208x = 380,008 × 380,008
4. Step 4: Simplify right side
   175,208x = 144,406,080,064
5. Step 5: Solve for x
   x = 144,406,080,064/175,208
6. Step 6: Final answer
   x = 824,197.98