Finding the Third Proportional to 100,598.25 and 217,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,598.25 : 217,003.50 = 217,003.50 : x
2. Step 2: Convert to fraction form
   100,598.25/217,003.50 = 217,003.50/x
3. Step 3: Cross multiply
   100,598.25x = 217,003.50 × 217,003.50
4. Step 4: Simplify right side
   100,598.25x = 47,090,519,012.25
5. Step 5: Solve for x
   x = 47,090,519,012.25/100,598.25
6. Step 6: Final answer
   x = 468,104.75