Finding the Third Proportional to 36,207 and 83,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,207 : 83,983.50 = 83,983.50 : x
2. Step 2: Convert to fraction form
   36,207/83,983.50 = 83,983.50/x
3. Step 3: Cross multiply
   36,207x = 83,983.50 × 83,983.50
4. Step 4: Simplify right side
   36,207x = 7,053,228,272.25
5. Step 5: Solve for x
   x = 7,053,228,272.25/36,207
6. Step 6: Final answer
   x = 194,802.89