Finding the Third Proportional to 209,050 and 314,046

Step by Step Solution

1. Step 1: Write the proportion equation
   209,050 : 314,046 = 314,046 : x
2. Step 2: Convert to fraction form
   209,050/314,046 = 314,046/x
3. Step 3: Cross multiply
   209,050x = 314,046 × 314,046
4. Step 4: Simplify right side
   209,050x = 98,624,890,116
5. Step 5: Solve for x
   x = 98,624,890,116/209,050
6. Step 6: Final answer
   x = 471,776.56