Finding the Third Proportional to 34,809,920 and 75,405,184

Step by Step Solution

1. Step 1: Write the proportion equation
   34,809,920 : 75,405,184 = 75,405,184 : x
2. Step 2: Convert to fraction form
   34,809,920/75,405,184 = 75,405,184/x
3. Step 3: Cross multiply
   34,809,920x = 75,405,184 × 75,405,184
4. Step 4: Simplify right side
   34,809,920x = 5,685,941,774,073,856
5. Step 5: Solve for x
   x = 5,685,941,774,073,856/34,809,920
6. Step 6: Final answer
   x = 163,342,569.42