Finding the Third Proportional to 133,663.50 and 194,475

Step by Step Solution

1. Step 1: Write the proportion equation
   133,663.50 : 194,475 = 194,475 : x
2. Step 2: Convert to fraction form
   133,663.50/194,475 = 194,475/x
3. Step 3: Cross multiply
   133,663.50x = 194,475 × 194,475
4. Step 4: Simplify right side
   133,663.50x = 37,820,525,625
5. Step 5: Solve for x
   x = 37,820,525,625/133,663.50
6. Step 6: Final answer
   x = 282,953.28