Finding the Third Proportional to 76,209.50 and 115,834

Step by Step Solution

1. Step 1: Write the proportion equation
   76,209.50 : 115,834 = 115,834 : x
2. Step 2: Convert to fraction form
   76,209.50/115,834 = 115,834/x
3. Step 3: Cross multiply
   76,209.50x = 115,834 × 115,834
4. Step 4: Simplify right side
   76,209.50x = 13,417,515,556
5. Step 5: Solve for x
   x = 13,417,515,556/76,209.50
6. Step 6: Final answer
   x = 176,060.93