Finding the Third Proportional to 88,258 and 189,152

Step by Step Solution

1. Step 1: Write the proportion equation
   88,258 : 189,152 = 189,152 : x
2. Step 2: Convert to fraction form
   88,258/189,152 = 189,152/x
3. Step 3: Cross multiply
   88,258x = 189,152 × 189,152
4. Step 4: Simplify right side
   88,258x = 35,778,479,104
5. Step 5: Solve for x
   x = 35,778,479,104/88,258
6. Step 6: Final answer
   x = 405,385.11