Finding the Third Proportional to 101,178,972,889 and 224,980,119,499

Step by Step Solution

1. Step 1: Write the proportion equation
   101,178,972,889 : 224,980,119,499 = 224,980,119,499 : x
2. Step 2: Convert to fraction form
   101,178,972,889/224,980,119,499 = 224,980,119,499/x
3. Step 3: Cross multiply
   101,178,972,889x = 224,980,119,499 × 224,980,119,499
4. Step 4: Simplify right side
   101,178,972,889x = 50,616,054,169,784,322,883,584
5. Step 5: Solve for x
   x = 50,616,054,169,784,322,883,584/101,178,972,889
6. Step 6: Final answer
   x = 500,262,581,488.29