Finding the Third Proportional to 36,326 and 78,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,326 : 78,389.50 = 78,389.50 : x
2. Step 2: Convert to fraction form
   36,326/78,389.50 = 78,389.50/x
3. Step 3: Cross multiply
   36,326x = 78,389.50 × 78,389.50
4. Step 4: Simplify right side
   36,326x = 6,144,913,710.25
5. Step 5: Solve for x
   x = 6,144,913,710.25/36,326
6. Step 6: Final answer
   x = 169,160.21