Finding the Third Proportional to 39,178 and 83,900

Step by Step Solution

1. Step 1: Write the proportion equation
   39,178 : 83,900 = 83,900 : x
2. Step 2: Convert to fraction form
   39,178/83,900 = 83,900/x
3. Step 3: Cross multiply
   39,178x = 83,900 × 83,900
4. Step 4: Simplify right side
   39,178x = 7,039,210,000
5. Step 5: Solve for x
   x = 7,039,210,000/39,178
6. Step 6: Final answer
   x = 179,672.52