Finding the Third Proportional to 119,664.50 and 259,141

Step by Step Solution

1. Step 1: Write the proportion equation
   119,664.50 : 259,141 = 259,141 : x
2. Step 2: Convert to fraction form
   119,664.50/259,141 = 259,141/x
3. Step 3: Cross multiply
   119,664.50x = 259,141 × 259,141
4. Step 4: Simplify right side
   119,664.50x = 67,154,057,881
5. Step 5: Solve for x
   x = 67,154,057,881/119,664.50
6. Step 6: Final answer
   x = 561,186.13