Finding the Third Proportional to 243,055.25 and 380,414

Step by Step Solution

1. Step 1: Write the proportion equation
   243,055.25 : 380,414 = 380,414 : x
2. Step 2: Convert to fraction form
   243,055.25/380,414 = 380,414/x
3. Step 3: Cross multiply
   243,055.25x = 380,414 × 380,414
4. Step 4: Simplify right side
   243,055.25x = 144,714,811,396
5. Step 5: Solve for x
   x = 144,714,811,396/243,055.25
6. Step 6: Final answer
   x = 595,398.83