Finding the Third Proportional to 122,695.25 and 262,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,695.25 : 262,886.50 = 262,886.50 : x
2. Step 2: Convert to fraction form
   122,695.25/262,886.50 = 262,886.50/x
3. Step 3: Cross multiply
   122,695.25x = 262,886.50 × 262,886.50
4. Step 4: Simplify right side
   122,695.25x = 69,109,311,882.25
5. Step 5: Solve for x
   x = 69,109,311,882.25/122,695.25
6. Step 6: Final answer
   x = 563,259.88