Finding the Third Proportional to 145,362 and 213,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,362 : 213,256.50 = 213,256.50 : x
2. Step 2: Convert to fraction form
   145,362/213,256.50 = 213,256.50/x
3. Step 3: Cross multiply
   145,362x = 213,256.50 × 213,256.50
4. Step 4: Simplify right side
   145,362x = 45,478,334,792.25
5. Step 5: Solve for x
   x = 45,478,334,792.25/145,362
6. Step 6: Final answer
   x = 312,862.61