Finding the Third Proportional to 194,209,734 and 416,120,802

Step by Step Solution

1. Step 1: Write the proportion equation
   194,209,734 : 416,120,802 = 416,120,802 : x
2. Step 2: Convert to fraction form
   194,209,734/416,120,802 = 416,120,802/x
3. Step 3: Cross multiply
   194,209,734x = 416,120,802 × 416,120,802
4. Step 4: Simplify right side
   194,209,734x = 173,156,521,857,123,200
5. Step 5: Solve for x
   x = 173,156,521,857,123,200/194,209,734
6. Step 6: Final answer
   x = 891,595,484.38