Finding the Third Proportional to 75,825 and 156,510

Step by Step Solution

1. Step 1: Write the proportion equation
   75,825 : 156,510 = 156,510 : x
2. Step 2: Convert to fraction form
   75,825/156,510 = 156,510/x
3. Step 3: Cross multiply
   75,825x = 156,510 × 156,510
4. Step 4: Simplify right side
   75,825x = 24,495,380,100
5. Step 5: Solve for x
   x = 24,495,380,100/75,825
6. Step 6: Final answer
   x = 323,051.50