Finding the Third Proportional to 117,097 and 256,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,097 : 256,953.50 = 256,953.50 : x
2. Step 2: Convert to fraction form
   117,097/256,953.50 = 256,953.50/x
3. Step 3: Cross multiply
   117,097x = 256,953.50 × 256,953.50
4. Step 4: Simplify right side
   117,097x = 66,025,101,162.25
5. Step 5: Solve for x
   x = 66,025,101,162.25/117,097
6. Step 6: Final answer
   x = 563,849.64