Finding the Third Proportional to 72,677 and 156,442

Step by Step Solution

1. Step 1: Write the proportion equation
   72,677 : 156,442 = 156,442 : x
2. Step 2: Convert to fraction form
   72,677/156,442 = 156,442/x
3. Step 3: Cross multiply
   72,677x = 156,442 × 156,442
4. Step 4: Simplify right side
   72,677x = 24,474,099,364
5. Step 5: Solve for x
   x = 24,474,099,364/72,677
6. Step 6: Final answer
   x = 336,751.65