Finding the Third Proportional to 543,196 and 709,736

Step by Step Solution

1. Step 1: Write the proportion equation
   543,196 : 709,736 = 709,736 : x
2. Step 2: Convert to fraction form
   543,196/709,736 = 709,736/x
3. Step 3: Cross multiply
   543,196x = 709,736 × 709,736
4. Step 4: Simplify right side
   543,196x = 503,725,189,696
5. Step 5: Solve for x
   x = 503,725,189,696/543,196
6. Step 6: Final answer
   x = 927,335.97