Finding the Third Proportional to 72,677 and 162,361

Step by Step Solution

1. Step 1: Write the proportion equation
   72,677 : 162,361 = 162,361 : x
2. Step 2: Convert to fraction form
   72,677/162,361 = 162,361/x
3. Step 3: Cross multiply
   72,677x = 162,361 × 162,361
4. Step 4: Simplify right side
   72,677x = 26,361,094,321
5. Step 5: Solve for x
   x = 26,361,094,321/72,677
6. Step 6: Final answer
   x = 362,715.77