Finding the Third Proportional to 38,786 and 83,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,786 : 83,508.50 = 83,508.50 : x
2. Step 2: Convert to fraction form
   38,786/83,508.50 = 83,508.50/x
3. Step 3: Cross multiply
   38,786x = 83,508.50 × 83,508.50
4. Step 4: Simplify right side
   38,786x = 6,973,669,572.25
5. Step 5: Solve for x
   x = 6,973,669,572.25/38,786
6. Step 6: Final answer
   x = 179,798.63