Finding the Third Proportional to 88,857 and 191,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,857 : 191,929.50 = 191,929.50 : x
2. Step 2: Convert to fraction form
   88,857/191,929.50 = 191,929.50/x
3. Step 3: Cross multiply
   88,857x = 191,929.50 × 191,929.50
4. Step 4: Simplify right side
   88,857x = 36,836,932,970.25
5. Step 5: Solve for x
   x = 36,836,932,970.25/88,857
6. Step 6: Final answer
   x = 414,564.22