Finding the Third Proportional to 37,986 and 78,400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,986 : 78,400.50 = 78,400.50 : x
2. Step 2: Convert to fraction form
   37,986/78,400.50 = 78,400.50/x
3. Step 3: Cross multiply
   37,986x = 78,400.50 × 78,400.50
4. Step 4: Simplify right side
   37,986x = 6,146,638,400.25
5. Step 5: Solve for x
   x = 6,146,638,400.25/37,986
6. Step 6: Final answer
   x = 161,813.26