Finding the Third Proportional to 152,615 and 209,132

Step by Step Solution

1. Step 1: Write the proportion equation
   152,615 : 209,132 = 209,132 : x
2. Step 2: Convert to fraction form
   152,615/209,132 = 209,132/x
3. Step 3: Cross multiply
   152,615x = 209,132 × 209,132
4. Step 4: Simplify right side
   152,615x = 43,736,193,424
5. Step 5: Solve for x
   x = 43,736,193,424/152,615
6. Step 6: Final answer
   x = 286,578.60