Finding the Third Proportional to 102,652 and 164,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,652 : 164,518.50 = 164,518.50 : x
2. Step 2: Convert to fraction form
   102,652/164,518.50 = 164,518.50/x
3. Step 3: Cross multiply
   102,652x = 164,518.50 × 164,518.50
4. Step 4: Simplify right side
   102,652x = 27,066,336,842.25
5. Step 5: Solve for x
   x = 27,066,336,842.25/102,652
6. Step 6: Final answer
   x = 263,670.82