Finding the Third Proportional to 117,276 and 256,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,276 : 256,057.50 = 256,057.50 : x
2. Step 2: Convert to fraction form
   117,276/256,057.50 = 256,057.50/x
3. Step 3: Cross multiply
   117,276x = 256,057.50 × 256,057.50
4. Step 4: Simplify right side
   117,276x = 65,565,443,306.25
5. Step 5: Solve for x
   x = 65,565,443,306.25/117,276
6. Step 6: Final answer
   x = 559,069.57