Finding the Third Proportional to 243,969 and 380,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   243,969 : 380,707.50 = 380,707.50 : x
2. Step 2: Convert to fraction form
   243,969/380,707.50 = 380,707.50/x
3. Step 3: Cross multiply
   243,969x = 380,707.50 × 380,707.50
4. Step 4: Simplify right side
   243,969x = 144,938,200,556.25
5. Step 5: Solve for x
   x = 144,938,200,556.25/243,969
6. Step 6: Final answer
   x = 594,084.50