Finding the Third Proportional to 52,009 and 78,481.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,009 : 78,481.50 = 78,481.50 : x
2. Step 2: Convert to fraction form
   52,009/78,481.50 = 78,481.50/x
3. Step 3: Cross multiply
   52,009x = 78,481.50 × 78,481.50
4. Step 4: Simplify right side
   52,009x = 6,159,345,842.25
5. Step 5: Solve for x
   x = 6,159,345,842.25/52,009
6. Step 6: Final answer
   x = 118,428.46