Finding the Third Proportional to 175,410 and 384,138

Step by Step Solution

1. Step 1: Write the proportion equation
   175,410 : 384,138 = 384,138 : x
2. Step 2: Convert to fraction form
   175,410/384,138 = 384,138/x
3. Step 3: Cross multiply
   175,410x = 384,138 × 384,138
4. Step 4: Simplify right side
   175,410x = 147,562,003,044
5. Step 5: Solve for x
   x = 147,562,003,044/175,410
6. Step 6: Final answer
   x = 841,240.54