Finding the Third Proportional to 200,429,382 and 419,184,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,429,382 : 419,184,715.50 = 419,184,715.50 : x
2. Step 2: Convert to fraction form
   200,429,382/419,184,715.50 = 419,184,715.50/x
3. Step 3: Cross multiply
   200,429,382x = 419,184,715.50 × 419,184,715.50
4. Step 4: Simplify right side
   200,429,382x = 175,715,825,708,815,936
5. Step 5: Solve for x
   x = 175,715,825,708,815,936/200,429,382
6. Step 6: Final answer
   x = 876,696,939.12