Finding the Third Proportional to 193,905,821.25 and 414,685,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,905,821.25 : 414,685,498.50 = 414,685,498.50 : x
2. Step 2: Convert to fraction form
   193,905,821.25/414,685,498.50 = 414,685,498.50/x
3. Step 3: Cross multiply
   193,905,821.25x = 414,685,498.50 × 414,685,498.50
4. Step 4: Simplify right side
   193,905,821.25x = 171,964,062,666,193,504
5. Step 5: Solve for x
   x = 171,964,062,666,193,504/193,905,821.25
6. Step 6: Final answer
   x = 886,843,218.82