Finding the Third Proportional to 83,047 and 194,967

Step by Step Solution

1. Step 1: Write the proportion equation
   83,047 : 194,967 = 194,967 : x
2. Step 2: Convert to fraction form
   83,047/194,967 = 194,967/x
3. Step 3: Cross multiply
   83,047x = 194,967 × 194,967
4. Step 4: Simplify right side
   83,047x = 38,012,131,089
5. Step 5: Solve for x
   x = 38,012,131,089/83,047
6. Step 6: Final answer
   x = 457,718.29