Finding the Third Proportional to 765,235,973.81 and 1,147,654,665

Step by Step Solution

1. Step 1: Write the proportion equation
   765,235,973.81 : 1,147,654,665 = 1,147,654,665 : x
2. Step 2: Convert to fraction form
   765,235,973.81/1,147,654,665 = 1,147,654,665/x
3. Step 3: Cross multiply
   765,235,973.81x = 1,147,654,665 × 1,147,654,665
4. Step 4: Simplify right side
   765,235,973.81x = 1,317,111,230,096,262,144
5. Step 5: Solve for x
   x = 1,317,111,230,096,262,144/765,235,973.81
6. Step 6: Final answer
   x = 1,721,183,105.83