Finding the Third Proportional to 137,164,578 and 208,962,546

Step by Step Solution

1. Step 1: Write the proportion equation
   137,164,578 : 208,962,546 = 208,962,546 : x
2. Step 2: Convert to fraction form
   137,164,578/208,962,546 = 208,962,546/x
3. Step 3: Cross multiply
   137,164,578x = 208,962,546 × 208,962,546
4. Step 4: Simplify right side
   137,164,578x = 43,665,345,630,802,112
5. Step 5: Solve for x
   x = 43,665,345,630,802,112/137,164,578
6. Step 6: Final answer
   x = 318,342,725.71