Finding the Third Proportional to 144,106 and 314,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,106 : 314,968.50 = 314,968.50 : x
2. Step 2: Convert to fraction form
   144,106/314,968.50 = 314,968.50/x
3. Step 3: Cross multiply
   144,106x = 314,968.50 × 314,968.50
4. Step 4: Simplify right side
   144,106x = 99,205,155,992.25
5. Step 5: Solve for x
   x = 99,205,155,992.25/144,106
6. Step 6: Final answer
   x = 688,417.94