Finding the Third Proportional to 175,352 and 384,076

Step by Step Solution

1. Step 1: Write the proportion equation
   175,352 : 384,076 = 384,076 : x
2. Step 2: Convert to fraction form
   175,352/384,076 = 384,076/x
3. Step 3: Cross multiply
   175,352x = 384,076 × 384,076
4. Step 4: Simplify right side
   175,352x = 147,514,373,776
5. Step 5: Solve for x
   x = 147,514,373,776/175,352
6. Step 6: Final answer
   x = 841,247.17