Finding the Third Proportional to 86,672 and 180,139

Step by Step Solution

1. Step 1: Write the proportion equation
   86,672 : 180,139 = 180,139 : x
2. Step 2: Convert to fraction form
   86,672/180,139 = 180,139/x
3. Step 3: Cross multiply
   86,672x = 180,139 × 180,139
4. Step 4: Simplify right side
   86,672x = 32,450,059,321
5. Step 5: Solve for x
   x = 32,450,059,321/86,672
6. Step 6: Final answer
   x = 374,400.72