Finding the Third Proportional to 73,800 and 113,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,800 : 113,971.50 = 113,971.50 : x
2. Step 2: Convert to fraction form
   73,800/113,971.50 = 113,971.50/x
3. Step 3: Cross multiply
   73,800x = 113,971.50 × 113,971.50
4. Step 4: Simplify right side
   73,800x = 12,989,502,812.25
5. Step 5: Solve for x
   x = 12,989,502,812.25/73,800
6. Step 6: Final answer
   x = 176,009.52