Finding the Third Proportional to 175,513 and 379,046

Step by Step Solution

1. Step 1: Write the proportion equation
   175,513 : 379,046 = 379,046 : x
2. Step 2: Convert to fraction form
   175,513/379,046 = 379,046/x
3. Step 3: Cross multiply
   175,513x = 379,046 × 379,046
4. Step 4: Simplify right side
   175,513x = 143,675,870,116
5. Step 5: Solve for x
   x = 143,675,870,116/175,513
6. Step 6: Final answer
   x = 818,605.29