Finding the Third Proportional to 121,791 and 182,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,791 : 182,071.50 = 182,071.50 : x
2. Step 2: Convert to fraction form
   121,791/182,071.50 = 182,071.50/x
3. Step 3: Cross multiply
   121,791x = 182,071.50 × 182,071.50
4. Step 4: Simplify right side
   121,791x = 33,150,031,112.25
5. Step 5: Solve for x
   x = 33,150,031,112.25/121,791
6. Step 6: Final answer
   x = 272,187.86