Finding the Third Proportional to 142,938 and 314,199

Step by Step Solution

1. Step 1: Write the proportion equation
   142,938 : 314,199 = 314,199 : x
2. Step 2: Convert to fraction form
   142,938/314,199 = 314,199/x
3. Step 3: Cross multiply
   142,938x = 314,199 × 314,199
4. Step 4: Simplify right side
   142,938x = 98,721,011,601
5. Step 5: Solve for x
   x = 98,721,011,601/142,938
6. Step 6: Final answer
   x = 690,656.17