Finding the Third Proportional to 137,065,277,164 and 300,608,362,124

Step by Step Solution

1. Step 1: Write the proportion equation
   137,065,277,164 : 300,608,362,124 = 300,608,362,124 : x
2. Step 2: Convert to fraction form
   137,065,277,164/300,608,362,124 = 300,608,362,124/x
3. Step 3: Cross multiply
   137,065,277,164x = 300,608,362,124 × 300,608,362,124
4. Step 4: Simplify right side
   137,065,277,164x = 90,365,387,378,873,914,621,952
5. Step 5: Solve for x
   x = 90,365,387,378,873,914,621,952/137,065,277,164
6. Step 6: Final answer
   x = 659,287,233,416.17