Finding the Third Proportional to 338,428.50 and 507,714

Step by Step Solution

1. Step 1: Write the proportion equation
   338,428.50 : 507,714 = 507,714 : x
2. Step 2: Convert to fraction form
   338,428.50/507,714 = 507,714/x
3. Step 3: Cross multiply
   338,428.50x = 507,714 × 507,714
4. Step 4: Simplify right side
   338,428.50x = 257,773,505,796
5. Step 5: Solve for x
   x = 257,773,505,796/338,428.50
6. Step 6: Final answer
   x = 761,677.89