Finding the Third Proportional to 85,672 and 185,645

Step by Step Solution

1. Step 1: Write the proportion equation
   85,672 : 185,645 = 185,645 : x
2. Step 2: Convert to fraction form
   85,672/185,645 = 185,645/x
3. Step 3: Cross multiply
   85,672x = 185,645 × 185,645
4. Step 4: Simplify right side
   85,672x = 34,464,066,025
5. Step 5: Solve for x
   x = 34,464,066,025/85,672
6. Step 6: Final answer
   x = 402,279.23