Finding the Third Proportional to 72,136 and 156,442

Step by Step Solution

1. Step 1: Write the proportion equation
   72,136 : 156,442 = 156,442 : x
2. Step 2: Convert to fraction form
   72,136/156,442 = 156,442/x
3. Step 3: Cross multiply
   72,136x = 156,442 × 156,442
4. Step 4: Simplify right side
   72,136x = 24,474,099,364
5. Step 5: Solve for x
   x = 24,474,099,364/72,136
6. Step 6: Final answer
   x = 339,277.19