Finding the Third Proportional to 784,120 and 1,153,216

Step by Step Solution

1. Step 1: Write the proportion equation
   784,120 : 1,153,216 = 1,153,216 : x
2. Step 2: Convert to fraction form
   784,120/1,153,216 = 1,153,216/x
3. Step 3: Cross multiply
   784,120x = 1,153,216 × 1,153,216
4. Step 4: Simplify right side
   784,120x = 1,329,907,142,656
5. Step 5: Solve for x
   x = 1,329,907,142,656/784,120
6. Step 6: Final answer
   x = 1,696,050.53