Finding the Third Proportional to 109,210.50 and 238,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,210.50 : 238,624.50 = 238,624.50 : x
2. Step 2: Convert to fraction form
   109,210.50/238,624.50 = 238,624.50/x
3. Step 3: Cross multiply
   109,210.50x = 238,624.50 × 238,624.50
4. Step 4: Simplify right side
   109,210.50x = 56,941,652,000.25
5. Step 5: Solve for x
   x = 56,941,652,000.25/109,210.50
6. Step 6: Final answer
   x = 521,393.57