Finding the Third Proportional to 175,069 and 384,032

Step by Step Solution

1. Step 1: Write the proportion equation
   175,069 : 384,032 = 384,032 : x
2. Step 2: Convert to fraction form
   175,069/384,032 = 384,032/x
3. Step 3: Cross multiply
   175,069x = 384,032 × 384,032
4. Step 4: Simplify right side
   175,069x = 147,480,577,024
5. Step 5: Solve for x
   x = 147,480,577,024/175,069
6. Step 6: Final answer
   x = 842,414.00