Finding the Third Proportional to 141,005.50 and 288,888.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,005.50 : 288,888.50 = 288,888.50 : x
2. Step 2: Convert to fraction form
   141,005.50/288,888.50 = 288,888.50/x
3. Step 3: Cross multiply
   141,005.50x = 288,888.50 × 288,888.50
4. Step 4: Simplify right side
   141,005.50x = 83,456,565,432.25
5. Step 5: Solve for x
   x = 83,456,565,432.25/141,005.50
6. Step 6: Final answer
   x = 591,867.45