Finding the Third Proportional to 110,414 and 238,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,414 : 238,323.50 = 238,323.50 : x
2. Step 2: Convert to fraction form
   110,414/238,323.50 = 238,323.50/x
3. Step 3: Cross multiply
   110,414x = 238,323.50 × 238,323.50
4. Step 4: Simplify right side
   110,414x = 56,798,090,652.25
5. Step 5: Solve for x
   x = 56,798,090,652.25/110,414
6. Step 6: Final answer
   x = 514,410.23