Finding the Third Proportional to 75,099 and 116,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,099 : 116,956.50 = 116,956.50 : x
2. Step 2: Convert to fraction form
   75,099/116,956.50 = 116,956.50/x
3. Step 3: Cross multiply
   75,099x = 116,956.50 × 116,956.50
4. Step 4: Simplify right side
   75,099x = 13,678,822,892.25
5. Step 5: Solve for x
   x = 13,678,822,892.25/75,099
6. Step 6: Final answer
   x = 182,143.88