Finding the Third Proportional to 83,506 and 175,217

Step by Step Solution

1. Step 1: Write the proportion equation
   83,506 : 175,217 = 175,217 : x
2. Step 2: Convert to fraction form
   83,506/175,217 = 175,217/x
3. Step 3: Cross multiply
   83,506x = 175,217 × 175,217
4. Step 4: Simplify right side
   83,506x = 30,700,997,089
5. Step 5: Solve for x
   x = 30,700,997,089/83,506
6. Step 6: Final answer
   x = 367,650.19