Finding the Third Proportional to 106,075.50 and 150,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,075.50 : 150,364.50 = 150,364.50 : x
2. Step 2: Convert to fraction form
   106,075.50/150,364.50 = 150,364.50/x
3. Step 3: Cross multiply
   106,075.50x = 150,364.50 × 150,364.50
4. Step 4: Simplify right side
   106,075.50x = 22,609,482,860.25
5. Step 5: Solve for x
   x = 22,609,482,860.25/106,075.50
6. Step 6: Final answer
   x = 213,145.19