Finding the Third Proportional to 830,780 and 1,188,032

Step by Step Solution

1. Step 1: Write the proportion equation
   830,780 : 1,188,032 = 1,188,032 : x
2. Step 2: Convert to fraction form
   830,780/1,188,032 = 1,188,032/x
3. Step 3: Cross multiply
   830,780x = 1,188,032 × 1,188,032
4. Step 4: Simplify right side
   830,780x = 1,411,420,033,024
5. Step 5: Solve for x
   x = 1,411,420,033,024/830,780
6. Step 6: Final answer
   x = 1,698,909.50