Finding the Third Proportional to 101,899.50 and 216,131.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101,899.50 : 216,131.25 = 216,131.25 : x
2. Step 2: Convert to fraction form
   101,899.50/216,131.25 = 216,131.25/x
3. Step 3: Cross multiply
   101,899.50x = 216,131.25 × 216,131.25
4. Step 4: Simplify right side
   101,899.50x = 46,712,717,226.56
5. Step 5: Solve for x
   x = 46,712,717,226.56/101,899.50
6. Step 6: Final answer
   x = 458,419.49