Finding the Third Proportional to 147,972 and 225,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,972 : 225,643.50 = 225,643.50 : x
2. Step 2: Convert to fraction form
   147,972/225,643.50 = 225,643.50/x
3. Step 3: Cross multiply
   147,972x = 225,643.50 × 225,643.50
4. Step 4: Simplify right side
   147,972x = 50,914,989,092.25
5. Step 5: Solve for x
   x = 50,914,989,092.25/147,972
6. Step 6: Final answer
   x = 344,085.29