Finding the Third Proportional to 142,083 and 212,152

Step by Step Solution

1. Step 1: Write the proportion equation
   142,083 : 212,152 = 212,152 : x
2. Step 2: Convert to fraction form
   142,083/212,152 = 212,152/x
3. Step 3: Cross multiply
   142,083x = 212,152 × 212,152
4. Step 4: Simplify right side
   142,083x = 45,008,471,104
5. Step 5: Solve for x
   x = 45,008,471,104/142,083
6. Step 6: Final answer
   x = 316,775.91