Finding the Third Proportional to 137,794.50 and 295,272

Step by Step Solution

1. Step 1: Write the proportion equation
   137,794.50 : 295,272 = 295,272 : x
2. Step 2: Convert to fraction form
   137,794.50/295,272 = 295,272/x
3. Step 3: Cross multiply
   137,794.50x = 295,272 × 295,272
4. Step 4: Simplify right side
   137,794.50x = 87,185,553,984
5. Step 5: Solve for x
   x = 87,185,553,984/137,794.50
6. Step 6: Final answer
   x = 632,721.58