Finding the Third Proportional to 53,173 and 78,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,173 : 78,733.50 = 78,733.50 : x
2. Step 2: Convert to fraction form
   53,173/78,733.50 = 78,733.50/x
3. Step 3: Cross multiply
   53,173x = 78,733.50 × 78,733.50
4. Step 4: Simplify right side
   53,173x = 6,198,964,022.25
5. Step 5: Solve for x
   x = 6,198,964,022.25/53,173
6. Step 6: Final answer
   x = 116,581.05