Finding the Third Proportional to 75,349 and 113,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,349 : 113,993.50 = 113,993.50 : x
2. Step 2: Convert to fraction form
   75,349/113,993.50 = 113,993.50/x
3. Step 3: Cross multiply
   75,349x = 113,993.50 × 113,993.50
4. Step 4: Simplify right side
   75,349x = 12,994,518,042.25
5. Step 5: Solve for x
   x = 12,994,518,042.25/75,349
6. Step 6: Final answer
   x = 172,457.74