Finding the Third Proportional to 133,842 and 297,210

Step by Step Solution

1. Step 1: Write the proportion equation
   133,842 : 297,210 = 297,210 : x
2. Step 2: Convert to fraction form
   133,842/297,210 = 297,210/x
3. Step 3: Cross multiply
   133,842x = 297,210 × 297,210
4. Step 4: Simplify right side
   133,842x = 88,333,784,100
5. Step 5: Solve for x
   x = 88,333,784,100/133,842
6. Step 6: Final answer
   x = 659,985.54