Finding the Third Proportional to 88,645 and 189,743

Step by Step Solution

1. Step 1: Write the proportion equation
   88,645 : 189,743 = 189,743 : x
2. Step 2: Convert to fraction form
   88,645/189,743 = 189,743/x
3. Step 3: Cross multiply
   88,645x = 189,743 × 189,743
4. Step 4: Simplify right side
   88,645x = 36,002,406,049
5. Step 5: Solve for x
   x = 36,002,406,049/88,645
6. Step 6: Final answer
   x = 406,141.42