Finding the Third Proportional to 117,966 and 256,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,966 : 256,666.50 = 256,666.50 : x
2. Step 2: Convert to fraction form
   117,966/256,666.50 = 256,666.50/x
3. Step 3: Cross multiply
   117,966x = 256,666.50 × 256,666.50
4. Step 4: Simplify right side
   117,966x = 65,877,692,222.25
5. Step 5: Solve for x
   x = 65,877,692,222.25/117,966
6. Step 6: Final answer
   x = 558,446.44