Finding the Third Proportional to 786,496 and 1,186,188

Step by Step Solution

1. Step 1: Write the proportion equation
   786,496 : 1,186,188 = 1,186,188 : x
2. Step 2: Convert to fraction form
   786,496/1,186,188 = 1,186,188/x
3. Step 3: Cross multiply
   786,496x = 1,186,188 × 1,186,188
4. Step 4: Simplify right side
   786,496x = 1,407,041,971,344
5. Step 5: Solve for x
   x = 1,407,041,971,344/786,496
6. Step 6: Final answer
   x = 1,789,000.80