Finding the Third Proportional to 826,753.50 and 1,184,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   826,753.50 : 1,184,764.50 = 1,184,764.50 : x
2. Step 2: Convert to fraction form
   826,753.50/1,184,764.50 = 1,184,764.50/x
3. Step 3: Cross multiply
   826,753.50x = 1,184,764.50 × 1,184,764.50
4. Step 4: Simplify right side
   826,753.50x = 1,403,666,920,460.25
5. Step 5: Solve for x
   x = 1,403,666,920,460.25/826,753.50
6. Step 6: Final answer
   x = 1,697,805.84