Finding the Third Proportional to 145,566 and 314,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,566 : 314,506.50 = 314,506.50 : x
2. Step 2: Convert to fraction form
   145,566/314,506.50 = 314,506.50/x
3. Step 3: Cross multiply
   145,566x = 314,506.50 × 314,506.50
4. Step 4: Simplify right side
   145,566x = 98,914,338,542.25
5. Step 5: Solve for x
   x = 98,914,338,542.25/145,566
6. Step 6: Final answer
   x = 679,515.40