Finding the Third Proportional to 209,742 and 314,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,742 : 314,635.50 = 314,635.50 : x
2. Step 2: Convert to fraction form
   209,742/314,635.50 = 314,635.50/x
3. Step 3: Cross multiply
   209,742x = 314,635.50 × 314,635.50
4. Step 4: Simplify right side
   209,742x = 98,995,497,860.25
5. Step 5: Solve for x
   x = 98,995,497,860.25/209,742
6. Step 6: Final answer
   x = 471,987.00