Finding the Third Proportional to 45,223 and 99,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,223 : 99,468.50 = 99,468.50 : x
2. Step 2: Convert to fraction form
   45,223/99,468.50 = 99,468.50/x
3. Step 3: Cross multiply
   45,223x = 99,468.50 × 99,468.50
4. Step 4: Simplify right side
   45,223x = 9,893,982,492.25
5. Step 5: Solve for x
   x = 9,893,982,492.25/45,223
6. Step 6: Final answer
   x = 218,782.09