Finding the Third Proportional to 105,730.50 and 238,076.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,730.50 : 238,076.25 = 238,076.25 : x
2. Step 2: Convert to fraction form
   105,730.50/238,076.25 = 238,076.25/x
3. Step 3: Cross multiply
   105,730.50x = 238,076.25 × 238,076.25
4. Step 4: Simplify right side
   105,730.50x = 56,680,300,814.06
5. Step 5: Solve for x
   x = 56,680,300,814.06/105,730.50
6. Step 6: Final answer
   x = 536,082.78