Finding the Third Proportional to 233,562 and 510,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,562 : 510,742.50 = 510,742.50 : x
2. Step 2: Convert to fraction form
   233,562/510,742.50 = 510,742.50/x
3. Step 3: Cross multiply
   233,562x = 510,742.50 × 510,742.50
4. Step 4: Simplify right side
   233,562x = 260,857,901,306.25
5. Step 5: Solve for x
   x = 260,857,901,306.25/233,562
6. Step 6: Final answer
   x = 1,116,867.90