Finding the Third Proportional to 523,965 and 788,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523,965 : 788,998.50 = 788,998.50 : x
2. Step 2: Convert to fraction form
   523,965/788,998.50 = 788,998.50/x
3. Step 3: Cross multiply
   523,965x = 788,998.50 × 788,998.50
4. Step 4: Simplify right side
   523,965x = 622,518,633,002.25
5. Step 5: Solve for x
   x = 622,518,633,002.25/523,965
6. Step 6: Final answer
   x = 1,188,092.02