Finding the Third Proportional to 526,405 and 786,091

Step by Step Solution

1. Step 1: Write the proportion equation
   526,405 : 786,091 = 786,091 : x
2. Step 2: Convert to fraction form
   526,405/786,091 = 786,091/x
3. Step 3: Cross multiply
   526,405x = 786,091 × 786,091
4. Step 4: Simplify right side
   526,405x = 617,939,060,281
5. Step 5: Solve for x
   x = 617,939,060,281/526,405
6. Step 6: Final answer
   x = 1,173,885.24