Finding the Third Proportional to 135,109,405.69 and 294,993,145.69

Step by Step Solution

1. Step 1: Write the proportion equation
   135,109,405.69 : 294,993,145.69 = 294,993,145.69 : x
2. Step 2: Convert to fraction form
   135,109,405.69/294,993,145.69 = 294,993,145.69/x
3. Step 3: Cross multiply
   135,109,405.69x = 294,993,145.69 × 294,993,145.69
4. Step 4: Simplify right side
   135,109,405.69x = 87,020,956,002,606,592
5. Step 5: Solve for x
   x = 87,020,956,002,606,592/135,109,405.69
6. Step 6: Final answer
   x = 644,077,705.47