Finding the Third Proportional to 243,055.50 and 380,414.25

Step by Step Solution

1. Step 1: Write the proportion equation
   243,055.50 : 380,414.25 = 380,414.25 : x
2. Step 2: Convert to fraction form
   243,055.50/380,414.25 = 380,414.25/x
3. Step 3: Cross multiply
   243,055.50x = 380,414.25 × 380,414.25
4. Step 4: Simplify right side
   243,055.50x = 144,715,001,603.06
5. Step 5: Solve for x
   x = 144,715,001,603.06/243,055.50
6. Step 6: Final answer
   x = 595,399.00