Finding the Third Proportional to 826,279,116.75 and 1,745,819,021.25

Step by Step Solution

1. Step 1: Write the proportion equation
   826,279,116.75 : 1,745,819,021.25 = 1,745,819,021.25 : x
2. Step 2: Convert to fraction form
   826,279,116.75/1,745,819,021.25 = 1,745,819,021.25/x
3. Step 3: Cross multiply
   826,279,116.75x = 1,745,819,021.25 × 1,745,819,021.25
4. Step 4: Simplify right side
   826,279,116.75x = 3,047,884,054,958,307,840
5. Step 5: Solve for x
   x = 3,047,884,054,958,307,840/826,279,116.75
6. Step 6: Final answer
   x = 3,688,685,812.30