Finding the Third Proportional to 674,224,684,650 and 974,138,238,222

Step by Step Solution

1. Step 1: Write the proportion equation
   674,224,684,650 : 974,138,238,222 = 974,138,238,222 : x
2. Step 2: Convert to fraction form
   674,224,684,650/974,138,238,222 = 974,138,238,222/x
3. Step 3: Cross multiply
   674,224,684,650x = 974,138,238,222 × 974,138,238,222
4. Step 4: Simplify right side
   674,224,684,650x = 948,945,307,166,262,031,286,272
5. Step 5: Solve for x
   x = 948,945,307,166,262,031,286,272/674,224,684,650
6. Step 6: Final answer
   x = 1,407,461,531,401.62