Finding the Third Proportional to 144,474 and 191,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,474 : 191,752.50 = 191,752.50 : x
2. Step 2: Convert to fraction form
   144,474/191,752.50 = 191,752.50/x
3. Step 3: Cross multiply
   144,474x = 191,752.50 × 191,752.50
4. Step 4: Simplify right side
   144,474x = 36,769,021,256.25
5. Step 5: Solve for x
   x = 36,769,021,256.25/144,474
6. Step 6: Final answer
   x = 254,502.69