Finding the Third Proportional to 252,790 and 380,788

Step by Step Solution

1. Step 1: Write the proportion equation
   252,790 : 380,788 = 380,788 : x
2. Step 2: Convert to fraction form
   252,790/380,788 = 380,788/x
3. Step 3: Cross multiply
   252,790x = 380,788 × 380,788
4. Step 4: Simplify right side
   252,790x = 144,999,500,944
5. Step 5: Solve for x
   x = 144,999,500,944/252,790
6. Step 6: Final answer
   x = 573,596.66