Finding the Third Proportional to 75,915 and 113,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,915 : 113,881.50 = 113,881.50 : x
2. Step 2: Convert to fraction form
   75,915/113,881.50 = 113,881.50/x
3. Step 3: Cross multiply
   75,915x = 113,881.50 × 113,881.50
4. Step 4: Simplify right side
   75,915x = 12,968,996,042.25
5. Step 5: Solve for x
   x = 12,968,996,042.25/75,915
6. Step 6: Final answer
   x = 170,835.75