Finding the Third Proportional to 88,509 and 191,112

Step by Step Solution

1. Step 1: Write the proportion equation
   88,509 : 191,112 = 191,112 : x
2. Step 2: Convert to fraction form
   88,509/191,112 = 191,112/x
3. Step 3: Cross multiply
   88,509x = 191,112 × 191,112
4. Step 4: Simplify right side
   88,509x = 36,523,796,544
5. Step 5: Solve for x
   x = 36,523,796,544/88,509
6. Step 6: Final answer
   x = 412,656.30