Finding the Third Proportional to 107,429 and 234,116

Step by Step Solution

1. Step 1: Write the proportion equation
   107,429 : 234,116 = 234,116 : x
2. Step 2: Convert to fraction form
   107,429/234,116 = 234,116/x
3. Step 3: Cross multiply
   107,429x = 234,116 × 234,116
4. Step 4: Simplify right side
   107,429x = 54,810,301,456
5. Step 5: Solve for x
   x = 54,810,301,456/107,429
6. Step 6: Final answer
   x = 510,200.24