Finding the Third Proportional to 88,380 and 192,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,380 : 192,128.50 = 192,128.50 : x
2. Step 2: Convert to fraction form
   88,380/192,128.50 = 192,128.50/x
3. Step 3: Cross multiply
   88,380x = 192,128.50 × 192,128.50
4. Step 4: Simplify right side
   88,380x = 36,913,360,512.25
5. Step 5: Solve for x
   x = 36,913,360,512.25/88,380
6. Step 6: Final answer
   x = 417,666.45