Finding the Third Proportional to 175,536.50 and 378,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,536.50 : 378,111.50 = 378,111.50 : x
2. Step 2: Convert to fraction form
   175,536.50/378,111.50 = 378,111.50/x
3. Step 3: Cross multiply
   175,536.50x = 378,111.50 × 378,111.50
4. Step 4: Simplify right side
   175,536.50x = 142,968,306,432.25
5. Step 5: Solve for x
   x = 142,968,306,432.25/175,536.50
6. Step 6: Final answer
   x = 814,464.83