Finding the Third Proportional to 75,124 and 116,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,124 : 116,992.50 = 116,992.50 : x
2. Step 2: Convert to fraction form
   75,124/116,992.50 = 116,992.50/x
3. Step 3: Cross multiply
   75,124x = 116,992.50 × 116,992.50
4. Step 4: Simplify right side
   75,124x = 13,687,245,056.25
5. Step 5: Solve for x
   x = 13,687,245,056.25/75,124
6. Step 6: Final answer
   x = 182,195.37