Finding the Third Proportional to 197,788 and 314,468

Step by Step Solution

1. Step 1: Write the proportion equation
   197,788 : 314,468 = 314,468 : x
2. Step 2: Convert to fraction form
   197,788/314,468 = 314,468/x
3. Step 3: Cross multiply
   197,788x = 314,468 × 314,468
4. Step 4: Simplify right side
   197,788x = 98,890,123,024
5. Step 5: Solve for x
   x = 98,890,123,024/197,788
6. Step 6: Final answer
   x = 499,980.40