Finding the Third Proportional to 145,777.88 and 238,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,777.88 : 238,042.50 = 238,042.50 : x
2. Step 2: Convert to fraction form
   145,777.88/238,042.50 = 238,042.50/x
3. Step 3: Cross multiply
   145,777.88x = 238,042.50 × 238,042.50
4. Step 4: Simplify right side
   145,777.88x = 56,664,231,806.25
5. Step 5: Solve for x
   x = 56,664,231,806.25/145,777.88
6. Step 6: Final answer
   x = 388,702.55