Finding the Third Proportional to 581,114,069,478 and 817,980,068,025

Step by Step Solution

1. Step 1: Write the proportion equation
   581,114,069,478 : 817,980,068,025 = 817,980,068,025 : x
2. Step 2: Convert to fraction form
   581,114,069,478/817,980,068,025 = 817,980,068,025/x
3. Step 3: Cross multiply
   581,114,069,478x = 817,980,068,025 × 817,980,068,025
4. Step 4: Simplify right side
   581,114,069,478x = 669,091,391,686,183,640,629,248
5. Step 5: Solve for x
   x = 669,091,391,686,183,640,629,248/581,114,069,478
6. Step 6: Final answer
   x = 1,151,394,238,806.18