Finding the Third Proportional to 37,242 and 81,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,242 : 81,178.50 = 81,178.50 : x
2. Step 2: Convert to fraction form
   37,242/81,178.50 = 81,178.50/x
3. Step 3: Cross multiply
   37,242x = 81,178.50 × 81,178.50
4. Step 4: Simplify right side
   37,242x = 6,589,948,862.25
5. Step 5: Solve for x
   x = 6,589,948,862.25/37,242
6. Step 6: Final answer
   x = 176,949.38