Finding the Third Proportional to 231,756 and 507,786

Step by Step Solution

1. Step 1: Write the proportion equation
   231,756 : 507,786 = 507,786 : x
2. Step 2: Convert to fraction form
   231,756/507,786 = 507,786/x
3. Step 3: Cross multiply
   231,756x = 507,786 × 507,786
4. Step 4: Simplify right side
   231,756x = 257,846,621,796
5. Step 5: Solve for x
   x = 257,846,621,796/231,756
6. Step 6: Final answer
   x = 1,112,577.98