Finding the Third Proportional to 83,050 and 194,972

Step by Step Solution

1. Step 1: Write the proportion equation
   83,050 : 194,972 = 194,972 : x
2. Step 2: Convert to fraction form
   83,050/194,972 = 194,972/x
3. Step 3: Cross multiply
   83,050x = 194,972 × 194,972
4. Step 4: Simplify right side
   83,050x = 38,014,080,784
5. Step 5: Solve for x
   x = 38,014,080,784/83,050
6. Step 6: Final answer
   x = 457,725.24