Finding the Third Proportional to 103,005 and 217,086.75

Step by Step Solution

1. Step 1: Write the proportion equation
   103,005 : 217,086.75 = 217,086.75 : x
2. Step 2: Convert to fraction form
   103,005/217,086.75 = 217,086.75/x
3. Step 3: Cross multiply
   103,005x = 217,086.75 × 217,086.75
4. Step 4: Simplify right side
   103,005x = 47,126,657,025.56
5. Step 5: Solve for x
   x = 47,126,657,025.56/103,005
6. Step 6: Final answer
   x = 457,518.15