Finding the Third Proportional to 406,752 and 615,384

Step by Step Solution

1. Step 1: Write the proportion equation
   406,752 : 615,384 = 615,384 : x
2. Step 2: Convert to fraction form
   406,752/615,384 = 615,384/x
3. Step 3: Cross multiply
   406,752x = 615,384 × 615,384
4. Step 4: Simplify right side
   406,752x = 378,697,467,456
5. Step 5: Solve for x
   x = 378,697,467,456/406,752
6. Step 6: Final answer
   x = 931,027.92