Finding the Third Proportional to 536,071.50 and 830,386.69

Step by Step Solution

1. Step 1: Write the proportion equation
   536,071.50 : 830,386.69 = 830,386.69 : x
2. Step 2: Convert to fraction form
   536,071.50/830,386.69 = 830,386.69/x
3. Step 3: Cross multiply
   536,071.50x = 830,386.69 × 830,386.69
4. Step 4: Simplify right side
   536,071.50x = 689,542,050,777.22
5. Step 5: Solve for x
   x = 689,542,050,777.22/536,071.50
6. Step 6: Final answer
   x = 1,286,287.46