Finding the Third Proportional to 88,441 and 191,833

Step by Step Solution

1. Step 1: Write the proportion equation
   88,441 : 191,833 = 191,833 : x
2. Step 2: Convert to fraction form
   88,441/191,833 = 191,833/x
3. Step 3: Cross multiply
   88,441x = 191,833 × 191,833
4. Step 4: Simplify right side
   88,441x = 36,799,899,889
5. Step 5: Solve for x
   x = 36,799,899,889/88,441
6. Step 6: Final answer
   x = 416,095.47