Finding the Third Proportional to 110,848.50 and 238,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,848.50 : 238,327.50 = 238,327.50 : x
2. Step 2: Convert to fraction form
   110,848.50/238,327.50 = 238,327.50/x
3. Step 3: Cross multiply
   110,848.50x = 238,327.50 × 238,327.50
4. Step 4: Simplify right side
   110,848.50x = 56,799,997,256.25
5. Step 5: Solve for x
   x = 56,799,997,256.25/110,848.50
6. Step 6: Final answer
   x = 512,411.06