Finding the Third Proportional to 107,790 and 226,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,790 : 226,741.50 = 226,741.50 : x
2. Step 2: Convert to fraction form
   107,790/226,741.50 = 226,741.50/x
3. Step 3: Cross multiply
   107,790x = 226,741.50 × 226,741.50
4. Step 4: Simplify right side
   107,790x = 51,411,707,822.25
5. Step 5: Solve for x
   x = 51,411,707,822.25/107,790
6. Step 6: Final answer
   x = 476,961.76