Finding the Third Proportional to 142,155 and 314,826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   142,155 : 314,826.75 = 314,826.75 : x
2. Step 2: Convert to fraction form
   142,155/314,826.75 = 314,826.75/x
3. Step 3: Cross multiply
   142,155x = 314,826.75 × 314,826.75
4. Step 4: Simplify right side
   142,155x = 99,115,882,515.56
5. Step 5: Solve for x
   x = 99,115,882,515.56/142,155
6. Step 6: Final answer
   x = 697,238.10