Finding the Third Proportional to 75,405 and 116,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,405 : 116,833.50 = 116,833.50 : x
2. Step 2: Convert to fraction form
   75,405/116,833.50 = 116,833.50/x
3. Step 3: Cross multiply
   75,405x = 116,833.50 × 116,833.50
4. Step 4: Simplify right side
   75,405x = 13,650,066,722.25
5. Step 5: Solve for x
   x = 13,650,066,722.25/75,405
6. Step 6: Final answer
   x = 181,023.36