Finding the Third Proportional to 88,564 and 191,600

Step by Step Solution

1. Step 1: Write the proportion equation
   88,564 : 191,600 = 191,600 : x
2. Step 2: Convert to fraction form
   88,564/191,600 = 191,600/x
3. Step 3: Cross multiply
   88,564x = 191,600 × 191,600
4. Step 4: Simplify right side
   88,564x = 36,710,560,000
5. Step 5: Solve for x
   x = 36,710,560,000/88,564
6. Step 6: Final answer
   x = 414,508.83