Finding the Third Proportional to 175,538 and 384,412

Step by Step Solution

1. Step 1: Write the proportion equation
   175,538 : 384,412 = 384,412 : x
2. Step 2: Convert to fraction form
   175,538/384,412 = 384,412/x
3. Step 3: Cross multiply
   175,538x = 384,412 × 384,412
4. Step 4: Simplify right side
   175,538x = 147,772,585,744
5. Step 5: Solve for x
   x = 147,772,585,744/175,538
6. Step 6: Final answer
   x = 841,826.76