Finding the Third Proportional to 209,707,408 and 314,561,144

Step by Step Solution

1. Step 1: Write the proportion equation
   209,707,408 : 314,561,144 = 314,561,144 : x
2. Step 2: Convert to fraction form
   209,707,408/314,561,144 = 314,561,144/x
3. Step 3: Cross multiply
   209,707,408x = 314,561,144 × 314,561,144
4. Step 4: Simplify right side
   209,707,408x = 98,948,713,314,588,736
5. Step 5: Solve for x
   x = 98,948,713,314,588,736/209,707,408
6. Step 6: Final answer
   x = 471,841,764.00