Finding the Third Proportional to 535,731 and 830,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   535,731 : 830,056.50 = 830,056.50 : x
2. Step 2: Convert to fraction form
   535,731/830,056.50 = 830,056.50/x
3. Step 3: Cross multiply
   535,731x = 830,056.50 × 830,056.50
4. Step 4: Simplify right side
   535,731x = 688,993,793,192.25
5. Step 5: Solve for x
   x = 688,993,793,192.25/535,731
6. Step 6: Final answer
   x = 1,286,081.62