Finding the Third Proportional to 380,237 and 531,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,237 : 531,627.50 = 531,627.50 : x
2. Step 2: Convert to fraction form
   380,237/531,627.50 = 531,627.50/x
3. Step 3: Cross multiply
   380,237x = 531,627.50 × 531,627.50
4. Step 4: Simplify right side
   380,237x = 282,627,798,756.25
5. Step 5: Solve for x
   x = 282,627,798,756.25/380,237
6. Step 6: Final answer
   x = 743,293.78