Finding the Third Proportional to 151,824 and 216,275.25

Step by Step Solution

1. Step 1: Write the proportion equation
   151,824 : 216,275.25 = 216,275.25 : x
2. Step 2: Convert to fraction form
   151,824/216,275.25 = 216,275.25/x
3. Step 3: Cross multiply
   151,824x = 216,275.25 × 216,275.25
4. Step 4: Simplify right side
   151,824x = 46,774,983,762.56
5. Step 5: Solve for x
   x = 46,774,983,762.56/151,824
6. Step 6: Final answer
   x = 308,086.89