Finding the Third Proportional to 88,619 and 191,152

Step by Step Solution

1. Step 1: Write the proportion equation
   88,619 : 191,152 = 191,152 : x
2. Step 2: Convert to fraction form
   88,619/191,152 = 191,152/x
3. Step 3: Cross multiply
   88,619x = 191,152 × 191,152
4. Step 4: Simplify right side
   88,619x = 36,539,087,104
5. Step 5: Solve for x
   x = 36,539,087,104/88,619
6. Step 6: Final answer
   x = 412,316.63