Finding the Third Proportional to 96,006 and 148,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,006 : 148,019.50 = 148,019.50 : x
2. Step 2: Convert to fraction form
   96,006/148,019.50 = 148,019.50/x
3. Step 3: Cross multiply
   96,006x = 148,019.50 × 148,019.50
4. Step 4: Simplify right side
   96,006x = 21,909,772,380.25
5. Step 5: Solve for x
   x = 21,909,772,380.25/96,006
6. Step 6: Final answer
   x = 228,212.53