Finding the Third Proportional to 129,262.50 and 193,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,262.50 : 193,111.50 = 193,111.50 : x
2. Step 2: Convert to fraction form
   129,262.50/193,111.50 = 193,111.50/x
3. Step 3: Cross multiply
   129,262.50x = 193,111.50 × 193,111.50
4. Step 4: Simplify right side
   129,262.50x = 37,292,051,432.25
5. Step 5: Solve for x
   x = 37,292,051,432.25/129,262.50
6. Step 6: Final answer
   x = 288,498.61