Finding the Third Proportional to 269,952 and 429,040

Step by Step Solution

1. Step 1: Write the proportion equation
   269,952 : 429,040 = 429,040 : x
2. Step 2: Convert to fraction form
   269,952/429,040 = 429,040/x
3. Step 3: Cross multiply
   269,952x = 429,040 × 429,040
4. Step 4: Simplify right side
   269,952x = 184,075,321,600
5. Step 5: Solve for x
   x = 184,075,321,600/269,952
6. Step 6: Final answer
   x = 681,881.67