Finding the Third Proportional to 38,824.38 and 83,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,824.38 : 83,185.50 = 83,185.50 : x
2. Step 2: Convert to fraction form
   38,824.38/83,185.50 = 83,185.50/x
3. Step 3: Cross multiply
   38,824.38x = 83,185.50 × 83,185.50
4. Step 4: Simplify right side
   38,824.38x = 6,919,827,410.25
5. Step 5: Solve for x
   x = 6,919,827,410.25/38,824.38
6. Step 6: Final answer
   x = 178,234.10