Finding the Third Proportional to 140,358 and 311,820

Step by Step Solution

1. Step 1: Write the proportion equation
   140,358 : 311,820 = 311,820 : x
2. Step 2: Convert to fraction form
   140,358/311,820 = 311,820/x
3. Step 3: Cross multiply
   140,358x = 311,820 × 311,820
4. Step 4: Simplify right side
   140,358x = 97,231,712,400
5. Step 5: Solve for x
   x = 97,231,712,400/140,358
6. Step 6: Final answer
   x = 692,740.79