Finding the Third Proportional to 53,199 and 78,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,199 : 78,771.50 = 78,771.50 : x
2. Step 2: Convert to fraction form
   53,199/78,771.50 = 78,771.50/x
3. Step 3: Cross multiply
   53,199x = 78,771.50 × 78,771.50
4. Step 4: Simplify right side
   53,199x = 6,204,949,212.25
5. Step 5: Solve for x
   x = 6,204,949,212.25/53,199
6. Step 6: Final answer
   x = 116,636.58