Finding the Third Proportional to 116,142 and 163,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,142 : 163,558.50 = 163,558.50 : x
2. Step 2: Convert to fraction form
   116,142/163,558.50 = 163,558.50/x
3. Step 3: Cross multiply
   116,142x = 163,558.50 × 163,558.50
4. Step 4: Simplify right side
   116,142x = 26,751,382,922.25
5. Step 5: Solve for x
   x = 26,751,382,922.25/116,142
6. Step 6: Final answer
   x = 230,333.41