Finding the Third Proportional to 107,143.50 and 233,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,143.50 : 233,335.50 = 233,335.50 : x
2. Step 2: Convert to fraction form
   107,143.50/233,335.50 = 233,335.50/x
3. Step 3: Cross multiply
   107,143.50x = 233,335.50 × 233,335.50
4. Step 4: Simplify right side
   107,143.50x = 54,445,455,560.25
5. Step 5: Solve for x
   x = 54,445,455,560.25/107,143.50
6. Step 6: Final answer
   x = 508,154.54