Finding the Third Proportional to 693,646,823 and 1,002,199,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   693,646,823 : 1,002,199,874.50 = 1,002,199,874.50 : x
2. Step 2: Convert to fraction form
   693,646,823/1,002,199,874.50 = 1,002,199,874.50/x
3. Step 3: Cross multiply
   693,646,823x = 1,002,199,874.50 × 1,002,199,874.50
4. Step 4: Simplify right side
   693,646,823x = 1,004,404,588,447,815,808
5. Step 5: Solve for x
   x = 1,004,404,588,447,815,808/693,646,823
6. Step 6: Final answer
   x = 1,448,005,750.40