Finding the Third Proportional to 380,182.50 and 531,522

Step by Step Solution

1. Step 1: Write the proportion equation
   380,182.50 : 531,522 = 531,522 : x
2. Step 2: Convert to fraction form
   380,182.50/531,522 = 531,522/x
3. Step 3: Cross multiply
   380,182.50x = 531,522 × 531,522
4. Step 4: Simplify right side
   380,182.50x = 282,515,636,484
5. Step 5: Solve for x
   x = 282,515,636,484/380,182.50
6. Step 6: Final answer
   x = 743,105.32