Finding the Third Proportional to 101,106.50 and 150,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,106.50 : 150,686.50 = 150,686.50 : x
2. Step 2: Convert to fraction form
   101,106.50/150,686.50 = 150,686.50/x
3. Step 3: Cross multiply
   101,106.50x = 150,686.50 × 150,686.50
4. Step 4: Simplify right side
   101,106.50x = 22,706,421,282.25
5. Step 5: Solve for x
   x = 22,706,421,282.25/101,106.50
6. Step 6: Final answer
   x = 224,579.24