Finding the Third Proportional to 71,821,938 and 111,438,164

Step by Step Solution

1. Step 1: Write the proportion equation
   71,821,938 : 111,438,164 = 111,438,164 : x
2. Step 2: Convert to fraction form
   71,821,938/111,438,164 = 111,438,164/x
3. Step 3: Cross multiply
   71,821,938x = 111,438,164 × 111,438,164
4. Step 4: Simplify right side
   71,821,938x = 12,418,464,395,690,896
5. Step 5: Solve for x
   x = 12,418,464,395,690,896/71,821,938
6. Step 6: Final answer
   x = 172,906,283.81