Finding the Third Proportional to 121,772 and 191,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,772 : 191,071.50 = 191,071.50 : x
2. Step 2: Convert to fraction form
   121,772/191,071.50 = 191,071.50/x
3. Step 3: Cross multiply
   121,772x = 191,071.50 × 191,071.50
4. Step 4: Simplify right side
   121,772x = 36,508,318,112.25
5. Step 5: Solve for x
   x = 36,508,318,112.25/121,772
6. Step 6: Final answer
   x = 299,808.81