Finding the Third Proportional to 78,405 and 117,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,405 : 117,784.50 = 117,784.50 : x
2. Step 2: Convert to fraction form
   78,405/117,784.50 = 117,784.50/x
3. Step 3: Cross multiply
   78,405x = 117,784.50 × 117,784.50
4. Step 4: Simplify right side
   78,405x = 13,873,188,440.25
5. Step 5: Solve for x
   x = 13,873,188,440.25/78,405
6. Step 6: Final answer
   x = 176,942.65