Finding the Third Proportional to 77,930 and 111,437

Step by Step Solution

1. Step 1: Write the proportion equation
   77,930 : 111,437 = 111,437 : x
2. Step 2: Convert to fraction form
   77,930/111,437 = 111,437/x
3. Step 3: Cross multiply
   77,930x = 111,437 × 111,437
4. Step 4: Simplify right side
   77,930x = 12,418,204,969
5. Step 5: Solve for x
   x = 12,418,204,969/77,930
6. Step 6: Final answer
   x = 159,350.76