Finding the Third Proportional to 88,152 and 191,856

Step by Step Solution

1. Step 1: Write the proportion equation
   88,152 : 191,856 = 191,856 : x
2. Step 2: Convert to fraction form
   88,152/191,856 = 191,856/x
3. Step 3: Cross multiply
   88,152x = 191,856 × 191,856
4. Step 4: Simplify right side
   88,152x = 36,808,724,736
5. Step 5: Solve for x
   x = 36,808,724,736/88,152
6. Step 6: Final answer
   x = 417,559.72