Finding the Third Proportional to 142,091 and 212,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,091 : 212,161.50 = 212,161.50 : x
2. Step 2: Convert to fraction form
   142,091/212,161.50 = 212,161.50/x
3. Step 3: Cross multiply
   142,091x = 212,161.50 × 212,161.50
4. Step 4: Simplify right side
   142,091x = 45,012,502,082.25
5. Step 5: Solve for x
   x = 45,012,502,082.25/142,091
6. Step 6: Final answer
   x = 316,786.44