Finding the Third Proportional to 88,824 and 189,156

Step by Step Solution

1. Step 1: Write the proportion equation
   88,824 : 189,156 = 189,156 : x
2. Step 2: Convert to fraction form
   88,824/189,156 = 189,156/x
3. Step 3: Cross multiply
   88,824x = 189,156 × 189,156
4. Step 4: Simplify right side
   88,824x = 35,779,992,336
5. Step 5: Solve for x
   x = 35,779,992,336/88,824
6. Step 6: Final answer
   x = 402,818.97