Finding the Third Proportional to 786,376 and 1,186,080

Step by Step Solution

1. Step 1: Write the proportion equation
   786,376 : 1,186,080 = 1,186,080 : x
2. Step 2: Convert to fraction form
   786,376/1,186,080 = 1,186,080/x
3. Step 3: Cross multiply
   786,376x = 1,186,080 × 1,186,080
4. Step 4: Simplify right side
   786,376x = 1,406,785,766,400
5. Step 5: Solve for x
   x = 1,406,785,766,400/786,376
6. Step 6: Final answer
   x = 1,788,947.99