Finding the Third Proportional to 38,828.25 and 83,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,828.25 : 83,191.50 = 83,191.50 : x
2. Step 2: Convert to fraction form
   38,828.25/83,191.50 = 83,191.50/x
3. Step 3: Cross multiply
   38,828.25x = 83,191.50 × 83,191.50
4. Step 4: Simplify right side
   38,828.25x = 6,920,825,672.25
5. Step 5: Solve for x
   x = 6,920,825,672.25/38,828.25
6. Step 6: Final answer
   x = 178,242.02