Finding the Third Proportional to 142,075 and 212,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,075 : 212,140.50 = 212,140.50 : x
2. Step 2: Convert to fraction form
   142,075/212,140.50 = 212,140.50/x
3. Step 3: Cross multiply
   142,075x = 212,140.50 × 212,140.50
4. Step 4: Simplify right side
   142,075x = 45,003,591,740.25
5. Step 5: Solve for x
   x = 45,003,591,740.25/142,075
6. Step 6: Final answer
   x = 316,759.40