Finding the Third Proportional to 51,978.38 and 109,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,978.38 : 109,390.50 = 109,390.50 : x
2. Step 2: Convert to fraction form
   51,978.38/109,390.50 = 109,390.50/x
3. Step 3: Cross multiply
   51,978.38x = 109,390.50 × 109,390.50
4. Step 4: Simplify right side
   51,978.38x = 11,966,281,490.25
5. Step 5: Solve for x
   x = 11,966,281,490.25/51,978.38
6. Step 6: Final answer
   x = 230,216.54