Finding the Third Proportional to 38,868 and 83,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,868 : 83,680.50 = 83,680.50 : x
2. Step 2: Convert to fraction form
   38,868/83,680.50 = 83,680.50/x
3. Step 3: Cross multiply
   38,868x = 83,680.50 × 83,680.50
4. Step 4: Simplify right side
   38,868x = 7,002,426,080.25
5. Step 5: Solve for x
   x = 7,002,426,080.25/38,868
6. Step 6: Final answer
   x = 180,159.16