Finding the Third Proportional to 142,097 and 212,170.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,097 : 212,170.50 = 212,170.50 : x
2. Step 2: Convert to fraction form
   142,097/212,170.50 = 212,170.50/x
3. Step 3: Cross multiply
   142,097x = 212,170.50 × 212,170.50
4. Step 4: Simplify right side
   142,097x = 45,016,321,070.25
5. Step 5: Solve for x
   x = 45,016,321,070.25/142,097
6. Step 6: Final answer
   x = 316,799.94