Finding the Third Proportional to 121,710 and 181,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,710 : 181,906.50 = 181,906.50 : x
2. Step 2: Convert to fraction form
   121,710/181,906.50 = 181,906.50/x
3. Step 3: Cross multiply
   121,710x = 181,906.50 × 181,906.50
4. Step 4: Simplify right side
   121,710x = 33,089,974,742.25
5. Step 5: Solve for x
   x = 33,089,974,742.25/121,710
6. Step 6: Final answer
   x = 271,875.56