Finding the Third Proportional to 109,410.75 and 235,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,410.75 : 235,588.50 = 235,588.50 : x
2. Step 2: Convert to fraction form
   109,410.75/235,588.50 = 235,588.50/x
3. Step 3: Cross multiply
   109,410.75x = 235,588.50 × 235,588.50
4. Step 4: Simplify right side
   109,410.75x = 55,501,941,332.25
5. Step 5: Solve for x
   x = 55,501,941,332.25/109,410.75
6. Step 6: Final answer
   x = 507,280.51