Finding the Third Proportional to 116,952 and 256,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,952 : 256,278.50 = 256,278.50 : x
2. Step 2: Convert to fraction form
   116,952/256,278.50 = 256,278.50/x
3. Step 3: Cross multiply
   116,952x = 256,278.50 × 256,278.50
4. Step 4: Simplify right side
   116,952x = 65,678,669,562.25
5. Step 5: Solve for x
   x = 65,678,669,562.25/116,952
6. Step 6: Final answer
   x = 561,586.54