Finding the Third Proportional to 156,942 and 201,510

Step by Step Solution

1. Step 1: Write the proportion equation
   156,942 : 201,510 = 201,510 : x
2. Step 2: Convert to fraction form
   156,942/201,510 = 201,510/x
3. Step 3: Cross multiply
   156,942x = 201,510 × 201,510
4. Step 4: Simplify right side
   156,942x = 40,606,280,100
5. Step 5: Solve for x
   x = 40,606,280,100/156,942
6. Step 6: Final answer
   x = 258,734.31