Finding the Third Proportional to 156,735 and 204,180

Step by Step Solution

1. Step 1: Write the proportion equation
   156,735 : 204,180 = 204,180 : x
2. Step 2: Convert to fraction form
   156,735/204,180 = 204,180/x
3. Step 3: Cross multiply
   156,735x = 204,180 × 204,180
4. Step 4: Simplify right side
   156,735x = 41,689,472,400
5. Step 5: Solve for x
   x = 41,689,472,400/156,735
6. Step 6: Final answer
   x = 265,987.00