Finding the Third Proportional to 78,404 and 117,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,404 : 117,782.50 = 117,782.50 : x
2. Step 2: Convert to fraction form
   78,404/117,782.50 = 117,782.50/x
3. Step 3: Cross multiply
   78,404x = 117,782.50 × 117,782.50
4. Step 4: Simplify right side
   78,404x = 13,872,717,306.25
5. Step 5: Solve for x
   x = 13,872,717,306.25/78,404
6. Step 6: Final answer
   x = 176,938.90