Finding the Third Proportional to 200,429,392.50 and 419,184,738

Step by Step Solution

1. Step 1: Write the proportion equation
   200,429,392.50 : 419,184,738 = 419,184,738 : x
2. Step 2: Convert to fraction form
   200,429,392.50/419,184,738 = 419,184,738/x
3. Step 3: Cross multiply
   200,429,392.50x = 419,184,738 × 419,184,738
4. Step 4: Simplify right side
   200,429,392.50x = 175,715,844,572,128,640
5. Step 5: Solve for x
   x = 175,715,844,572,128,640/200,429,392.50
6. Step 6: Final answer
   x = 876,696,987.31