Finding the Third Proportional to 107,784 and 234,222

Step by Step Solution

1. Step 1: Write the proportion equation
   107,784 : 234,222 = 234,222 : x
2. Step 2: Convert to fraction form
   107,784/234,222 = 234,222/x
3. Step 3: Cross multiply
   107,784x = 234,222 × 234,222
4. Step 4: Simplify right side
   107,784x = 54,859,945,284
5. Step 5: Solve for x
   x = 54,859,945,284/107,784
6. Step 6: Final answer
   x = 508,980.42