Finding the Third Proportional to 191,780 and 297,768

Step by Step Solution

1. Step 1: Write the proportion equation
   191,780 : 297,768 = 297,768 : x
2. Step 2: Convert to fraction form
   191,780/297,768 = 297,768/x
3. Step 3: Cross multiply
   191,780x = 297,768 × 297,768
4. Step 4: Simplify right side
   191,780x = 88,665,781,824
5. Step 5: Solve for x
   x = 88,665,781,824/191,780
6. Step 6: Final answer
   x = 462,330.70