Finding the Third Proportional to 381,294 and 753,012

Step by Step Solution

1. Step 1: Write the proportion equation
   381,294 : 753,012 = 753,012 : x
2. Step 2: Convert to fraction form
   381,294/753,012 = 753,012/x
3. Step 3: Cross multiply
   381,294x = 753,012 × 753,012
4. Step 4: Simplify right side
   381,294x = 567,027,072,144
5. Step 5: Solve for x
   x = 567,027,072,144/381,294
6. Step 6: Final answer
   x = 1,487,112.50