Finding the Third Proportional to 90,678 and 127,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,678 : 127,468.50 = 127,468.50 : x
2. Step 2: Convert to fraction form
   90,678/127,468.50 = 127,468.50/x
3. Step 3: Cross multiply
   90,678x = 127,468.50 × 127,468.50
4. Step 4: Simplify right side
   90,678x = 16,248,218,492.25
5. Step 5: Solve for x
   x = 16,248,218,492.25/90,678
6. Step 6: Final answer
   x = 179,185.89