Finding the Third Proportional to 71,819 and 152,278

Step by Step Solution

1. Step 1: Write the proportion equation
   71,819 : 152,278 = 152,278 : x
2. Step 2: Convert to fraction form
   71,819/152,278 = 152,278/x
3. Step 3: Cross multiply
   71,819x = 152,278 × 152,278
4. Step 4: Simplify right side
   71,819x = 23,188,589,284
5. Step 5: Solve for x
   x = 23,188,589,284/71,819
6. Step 6: Final answer
   x = 322,875.41