Finding the Third Proportional to 106,231.50 and 148,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,231.50 : 148,513.50 = 148,513.50 : x
2. Step 2: Convert to fraction form
   106,231.50/148,513.50 = 148,513.50/x
3. Step 3: Cross multiply
   106,231.50x = 148,513.50 × 148,513.50
4. Step 4: Simplify right side
   106,231.50x = 22,056,259,682.25
5. Step 5: Solve for x
   x = 22,056,259,682.25/106,231.50
6. Step 6: Final answer
   x = 207,624.48