Finding the Third Proportional to 429,410 and 567,768

Step by Step Solution

1. Step 1: Write the proportion equation
   429,410 : 567,768 = 567,768 : x
2. Step 2: Convert to fraction form
   429,410/567,768 = 567,768/x
3. Step 3: Cross multiply
   429,410x = 567,768 × 567,768
4. Step 4: Simplify right side
   429,410x = 322,360,501,824
5. Step 5: Solve for x
   x = 322,360,501,824/429,410
6. Step 6: Final answer
   x = 750,705.62