Finding the Third Proportional to 233,565 and 510,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,565 : 510,748.50 = 510,748.50 : x
2. Step 2: Convert to fraction form
   233,565/510,748.50 = 510,748.50/x
3. Step 3: Cross multiply
   233,565x = 510,748.50 × 510,748.50
4. Step 4: Simplify right side
   233,565x = 260,864,030,252.25
5. Step 5: Solve for x
   x = 260,864,030,252.25/233,565
6. Step 6: Final answer
   x = 1,116,879.80