Finding the Third Proportional to 75,071 and 116,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,071 : 116,911.50 = 116,911.50 : x
2. Step 2: Convert to fraction form
   75,071/116,911.50 = 116,911.50/x
3. Step 3: Cross multiply
   75,071x = 116,911.50 × 116,911.50
4. Step 4: Simplify right side
   75,071x = 13,668,298,832.25
5. Step 5: Solve for x
   x = 13,668,298,832.25/75,071
6. Step 6: Final answer
   x = 182,071.62