Finding the Third Proportional to 107,359,787,076 and 160,108,668,774

Step by Step Solution

1. Step 1: Write the proportion equation
   107,359,787,076 : 160,108,668,774 = 160,108,668,774 : x
2. Step 2: Convert to fraction form
   107,359,787,076/160,108,668,774 = 160,108,668,774/x
3. Step 3: Cross multiply
   107,359,787,076x = 160,108,668,774 × 160,108,668,774
4. Step 4: Simplify right side
   107,359,787,076x = 25,634,785,816,582,444,548,096
5. Step 5: Solve for x
   x = 25,634,785,816,582,444,548,096/107,359,787,076
6. Step 6: Final answer
   x = 238,774,559,029.59