Finding the Third Proportional to 110,322 and 238,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   110,322 : 238,142.25 = 238,142.25 : x
2. Step 2: Convert to fraction form
   110,322/238,142.25 = 238,142.25/x
3. Step 3: Cross multiply
   110,322x = 238,142.25 × 238,142.25
4. Step 4: Simplify right side
   110,322x = 56,711,731,235.06
5. Step 5: Solve for x
   x = 56,711,731,235.06/110,322
6. Step 6: Final answer
   x = 514,056.41