Finding the Third Proportional to 175,537 and 384,410

Step by Step Solution

1. Step 1: Write the proportion equation
   175,537 : 384,410 = 384,410 : x
2. Step 2: Convert to fraction form
   175,537/384,410 = 384,410/x
3. Step 3: Cross multiply
   175,537x = 384,410 × 384,410
4. Step 4: Simplify right side
   175,537x = 147,771,048,100
5. Step 5: Solve for x
   x = 147,771,048,100/175,537
6. Step 6: Final answer
   x = 841,822.80