Finding the Third Proportional to 116,822.81 and 175,039.88

Step by Step Solution

1. Step 1: Write the proportion equation
   116,822.81 : 175,039.88 = 175,039.88 : x
2. Step 2: Convert to fraction form
   116,822.81/175,039.88 = 175,039.88/x
3. Step 3: Cross multiply
   116,822.81x = 175,039.88 × 175,039.88
4. Step 4: Simplify right side
   116,822.81x = 30,638,957,840.02
5. Step 5: Solve for x
   x = 30,638,957,840.02/116,822.81
6. Step 6: Final answer
   x = 262,268.62