Finding the Third Proportional to 101,776.50 and 217,079.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101,776.50 : 217,079.25 = 217,079.25 : x
2. Step 2: Convert to fraction form
   101,776.50/217,079.25 = 217,079.25/x
3. Step 3: Cross multiply
   101,776.50x = 217,079.25 × 217,079.25
4. Step 4: Simplify right side
   101,776.50x = 47,123,400,780.56
5. Step 5: Solve for x
   x = 47,123,400,780.56/101,776.50
6. Step 6: Final answer
   x = 463,008.66