Finding the Third Proportional to 231,300 and 337,106

Step by Step Solution

1. Step 1: Write the proportion equation
   231,300 : 337,106 = 337,106 : x
2. Step 2: Convert to fraction form
   231,300/337,106 = 337,106/x
3. Step 3: Cross multiply
   231,300x = 337,106 × 337,106
4. Step 4: Simplify right side
   231,300x = 113,640,455,236
5. Step 5: Solve for x
   x = 113,640,455,236/231,300
6. Step 6: Final answer
   x = 491,311.96