Finding the Third Proportional to 83,175 and 116,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,175 : 116,404.50 = 116,404.50 : x
2. Step 2: Convert to fraction form
   83,175/116,404.50 = 116,404.50/x
3. Step 3: Cross multiply
   83,175x = 116,404.50 × 116,404.50
4. Step 4: Simplify right side
   83,175x = 13,550,007,620.25
5. Step 5: Solve for x
   x = 13,550,007,620.25/83,175
6. Step 6: Final answer
   x = 162,909.62